Crucially, when they spend the money, it goes to someone else. Either they do nothing with it and the money is effectively scrap, or they spend the money for $1B in resource and give others the money which they can claim for $1B in resources.

Edit: money kind of represents a debt society owes to the individual. By owning the most money, it actually means that society is most indebted to them, or that they have loaned that many resources/value to society which has not yet been paid back, ironically enough.