I dont think that is true at all. This sort of extrapolation is mostly based on our mental heuristics which turn out to be false because we fail to account for

I dont think that is true at all. This sort of extrapolation is mostly based on our mental heuristics which turn out to be false because we fail to account for several other factors that might be affecting poor and rich. For example I would love to be a poor person in today's American which rich are richer than a poor person 30 years ago. The fact that rich people get rich basically suggest accelerated pace of development that brings down cost of living for everyone including the poor. Even though the average income of a poor family in United states might not have grown substantially in last 30 years, what they can afford for that money has changed a lot. Money <=> Power is not true unless government interferes too much in Economy. In USA however that is happening in the name of helping poor.