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Finding the Fourth Proportional to 116,491,641.80, 174,989,405.10 and 82,479,417.80

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Solution

The fourth proportional to 116,491,641.80, 174,989,405.10 and 82,479,417.80 is: 123,897,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,491,641.80 : 174,989,405.10 = 82,479,417.80 : x
  2. Step 2: Convert to fraction form
    116,491,641.80/174,989,405.10 = 82,479,417.80/x
  3. Step 3: Cross multiply
    116,491,641.80x = 174,989,405.10 × 82,479,417.80
  4. Step 4: Simplify right side
    116,491,641.80x = 14,433,024,253,816,350
  5. Step 5: Solve for x
    x = 14,433,024,253,816,350/116,491,641.80
  6. Step 6: Final answer
    x = 123,897,509.13

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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.