Finding the Fourth Proportional to 225,712,652,091.12, 311,483,510,728.53 and 124,214,537,418.29
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Solution
The fourth proportional to 225,712,652,091.12, 311,483,510,728.53 and 124,214,537,418.29 is: 171,416,089,617.12
Step by Step Solution
- Step 1: Write the proportion equation
225,712,652,091.12 : 311,483,510,728.53 = 124,214,537,418.29 : x - Step 2: Convert to fraction form
225,712,652,091.12/311,483,510,728.53 = 124,214,537,418.29/x - Step 3: Cross multiply
225,712,652,091.12x = 311,483,510,728.53 × 124,214,537,418.29 - Step 4: Simplify right side
225,712,652,091.12x = 38,690,780,198,569,322,217,472 - Step 5: Solve for x
x = 38,690,780,198,569,322,217,472/225,712,652,091.12 - Step 6: Final answer
x = 171,416,089,617.12
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.