Will poor people always be poor and have less opportunities than rich people?

For example, too often in our current capitalistic and/or monetary system, the poor people often have some brilliant ideas but unfortunately they don’t have the money to realize or bring out their ideas into reality.
And even their job or business opportunities also diminish greatly when compared to the rich people (or the born wealthy).

Do you agree?
Is this necessarily unfair?
If yes, then how can we solve this issue?