Finding the Fourth Proportional to 132,981,107,201.22, 199,472,952,196.17 and 106,385,553,337.26
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Solution
The fourth proportional to 132,981,107,201.22, 199,472,952,196.17 and 106,385,553,337.26 is: 159,579,363,127.85
Step by Step Solution
- Step 1: Write the proportion equation
132,981,107,201.22 : 199,472,952,196.17 = 106,385,553,337.26 : x - Step 2: Convert to fraction form
132,981,107,201.22/199,472,952,196.17 = 106,385,553,337.26/x - Step 3: Cross multiply
132,981,107,201.22x = 199,472,952,196.17 × 106,385,553,337.26 - Step 4: Simplify right side
132,981,107,201.22x = 21,221,040,395,206,357,155,840 - Step 5: Solve for x
x = 21,221,040,395,206,357,155,840/132,981,107,201.22 - Step 6: Final answer
x = 159,579,363,127.85
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.