LOL. If our richer neighbors disappeared, we wouldn't have such neat things we can borrow when we need them.
But you're right. The accumulation of wealth in a free market in which natural rights are protected is not the reason some are less wealthy.
Well, not to quibble, but some people getting 'more wealthy' does make others 'less wealthy' relatively. I'm just saying that being 'less wealthy' than someone else is not the same thing as being 'poorer' than you'd have been otherwise, which is how the socialists usually want to frame it.
But 'relatively', or more precisely 'comparatively', is not really a factor. America's poor are very rich indeed when compared to most of the world's poor. And wealth distribution is a problem only when that wealth is finite.
The only issue is whether the system/government/culture does not interfere in any way with each person having the unalienable right to try to achieve his/her full potential.
Bill Gates was in the right place in the right time and possessed the right instincts to achieve a level of wealth that most of us can only imagine. But his wealth took nothing away from anybody else and in fact his success has provided millions of good paying jobs and business opportunities for others. It did not prevent Steve Jobs from also becoming fantastically wealthy, nor can it be argued that Jobs did not also benefit from Gates' success and vice versa. And certainly neither of them cost me a dime or prevented me from achieving my own level of success that, though significantly less than theirs, was almost certainly enhanced because of the industries and opportunities that have spun off from Microsoft and Apple.
It is a near certainty that neither Gates or Jobs knows that AlbqOwl exists and neither has given me a single thought. But because they had the right and ability to achieve amazing success, they nevertheless played a part in my own in ways that almost certainly never occurred to either of them.
They took nothing away from anybody, but rather created industries that have in one way or another enriched us all.
That is how a free market works. And how recognition of and security of unalienable (natural) rights creates much more successful societies overall than any other system.