Take a number x, and multiply it with 5. Take the cube of the resulting number. What is the ratio of this number to the cube of the original number?
 
                Answer: 
            
        125:1
- If we multiply the number x with 5, the resulting number is 5x.
- The cube of the resulting number 5x = (5x)3
 = 125x3
- The original number is x.
 Cube of the original number = x3.
- The ratio of the new number to the original number =  New number Original number 
 =125x3 x3 
 =125 1 
- Therefore, the ratio of the new number to the cube of the original number is 125:1.
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