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Finding the Fourth Proportional to 604,313,105.70, 906,469,658.55 and 532,887,435.30

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Solution

The fourth proportional to 604,313,105.70, 906,469,658.55 and 532,887,435.30 is: 799,331,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,313,105.70 : 906,469,658.55 = 532,887,435.30 : x
  2. Step 2: Convert to fraction form
    604,313,105.70/906,469,658.55 = 532,887,435.30/x
  3. Step 3: Cross multiply
    604,313,105.70x = 906,469,658.55 × 532,887,435.30
  4. Step 4: Simplify right side
    604,313,105.70x = 483,046,291,521,976,192
  5. Step 5: Solve for x
    x = 483,046,291,521,976,192/604,313,105.70
  6. Step 6: Final answer
    x = 799,331,152.95

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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.