Are the fasts of the poor better than the fasts of the rich?
Fasting is not related to being poor or rich. Instead, it is related to seeking the Love and Pleasure of Allah.
Abu Huraira reported that the Messenger of Allah ﷺ said:
Every (good) deed of the son of Adam would be multiplied; a good deed receiving a tenfold to seven hundredfold reward. Allah said: With the exception of fasting, for it is done for Me and I shall give a reward for it (Myself), for one abandons his passion, food and drink for My sake.
If a person does not complete obligatory acts (of ibadah), then he is a grave sinner and is entitled to punishment. In case of failing to carry out obligatory ibadah (without a valid Sharai reason) no excuse shall be accepted.
If a person lives in a place where it is very difficult or impossible to carry out his obligatory religious worship, then it is forbidden (haram) for him to live there. He must move to a favourable place where he is free to carry out his religious duties and ibadah (worship).