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Finding the Fourth Proportional to 664,099,874.70, 996,754,306.14 and 353,468,279.94

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Solution

The fourth proportional to 664,099,874.70, 996,754,306.14 and 353,468,279.94 is: 530,524,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,099,874.70 : 996,754,306.14 = 353,468,279.94 : x
  2. Step 2: Convert to fraction form
    664,099,874.70/996,754,306.14 = 353,468,279.94/x
  3. Step 3: Cross multiply
    664,099,874.70x = 996,754,306.14 × 353,468,279.94
  4. Step 4: Simplify right side
    664,099,874.70x = 352,321,030,114,093,952
  5. Step 5: Solve for x
    x = 352,321,030,114,093,952/664,099,874.70
  6. Step 6: Final answer
    x = 530,524,162.91

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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.