Me think one way to understand how to deal with this "simple" problem of poverty is to ask how come the minority rich individuals or groups were able to succeed even when we all started at the same level. No person or society was born rich or wealthy.
To further buttress this point, do you sincerely think that if all the wealth in the world today is equally shared to everybody, poverty will end? Your guess is as good as mine. I believe just within five to ten years everything will return to normal, with may be even greater number of poor people.