This is the 17320th most frequent Polish word.
zamożne
"Zamożne" means "wealthy" or "affluent" in English.
Here 'zamożna' is an adjective describing the family, connoting affluence.
Rodzina Kowalskich jest bardzo zamożna i mieszka w dużym domu.
The Kowalski family is very wealthy and lives in a large house.
Here 'zamożne' is an adjective modifying 'społeczeństwo' (society), referring to economic prosperity.
Zamożne społeczeństwo może lepiej dbać o jakość życia.
A wealthy society can better care for the quality of life.
Here 'zamożnych' is the plural form of the adjective, agreeing in case and number with 'regionach' (regions), indicating regions with wealth.