Is it okay to say without "each" in this sentence? Would the meaning be the same?
"Each" is a necessary word here because it specifies that the value of "each" or every single dollar is decreased when more dollars are printed than the country has wealth for. However, you could replace "each" with the article "the" to express the idea that the value of dollar bills in general is decreased. This would convey the same meaning but just refer to dollar bills more general instead of emphasizing that it is each and every dollar that has a decreased value.