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Finding the Fourth Proportional to 641,613,321,000.20, 962,419,981,500.30 and 641,613,321,000.20

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Solution

The fourth proportional to 641,613,321,000.20, 962,419,981,500.30 and 641,613,321,000.20 is: 962,419,981,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,613,321,000.20 : 962,419,981,500.30 = 641,613,321,000.20 : x
  2. Step 2: Convert to fraction form
    641,613,321,000.20/962,419,981,500.30 = 641,613,321,000.20/x
  3. Step 3: Cross multiply
    641,613,321,000.20x = 962,419,981,500.30 × 641,613,321,000.20
  4. Step 4: Simplify right side
    641,613,321,000.20x = 617,501,480,527,358,456,758,272
  5. Step 5: Solve for x
    x = 617,501,480,527,358,456,758,272/641,613,321,000.20
  6. Step 6: Final answer
    x = 962,419,981,500.30

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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.