Finding the Fourth Proportional to 75,789,441,138.74, 104,585,285,224.52 and 41,488,512,143.54
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Solution
The fourth proportional to 75,789,441,138.74, 104,585,285,224.52 and 41,488,512,143.54 is: 57,251,878,505.48
Step by Step Solution
- Step 1: Write the proportion equation
75,789,441,138.74 : 104,585,285,224.52 = 41,488,512,143.54 : x - Step 2: Convert to fraction form
75,789,441,138.74/104,585,285,224.52 = 41,488,512,143.54/x - Step 3: Cross multiply
75,789,441,138.74x = 104,585,285,224.52 × 41,488,512,143.54 - Step 4: Simplify right side
75,789,441,138.74x = 4,339,087,876,073,092,808,704 - Step 5: Solve for x
x = 4,339,087,876,073,092,808,704/75,789,441,138.74 - Step 6: Final answer
x = 57,251,878,505.48
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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.