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Finding the Fourth Proportional to 659,098,376.30, 988,647,564.45 and 506,514,593.90

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Solution

The fourth proportional to 659,098,376.30, 988,647,564.45 and 506,514,593.90 is: 759,771,890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,098,376.30 : 988,647,564.45 = 506,514,593.90 : x
  2. Step 2: Convert to fraction form
    659,098,376.30/988,647,564.45 = 506,514,593.90/x
  3. Step 3: Cross multiply
    659,098,376.30x = 988,647,564.45 × 506,514,593.90
  4. Step 4: Simplify right side
    659,098,376.30x = 500,764,419,617,615,808
  5. Step 5: Solve for x
    x = 500,764,419,617,615,808/659,098,376.30
  6. Step 6: Final answer
    x = 759,771,890.85

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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.