Write a function that calculates the ratio between the sum of the prime numbers less than or equal to x, and the sum of the non-prime numbers up to the greatest prime less than or equal to x.
For example, if x = 7, then:
sum_prime = sum([2 3 5 7]) = 17
sum_non_prime = sum([1 4 6]) = 11
Therefore, the desired ratio is:
prime_ratio = sum_prime / sum_non_prime = 17 / 11
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test case #2 is not correct.
The problem description should be change to "and the sum of non-prime numbers up to the greatest prime lower than x".
Thank you for that clarification, @Rafael S.T. Vieira. The problem title and description have been improved, along with added test cases.