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Finding the Fourth Proportional to 1,471,123,231,644.70, 2,206,684,847,467 and 1,471,123,231,644.70

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Solution

The fourth proportional to 1,471,123,231,644.70, 2,206,684,847,467 and 1,471,123,231,644.70 is: 2,206,684,847,467

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,123,231,644.70 : 2,206,684,847,467 = 1,471,123,231,644.70 : x
  2. Step 2: Convert to fraction form
    1,471,123,231,644.70/2,206,684,847,467 = 1,471,123,231,644.70/x
  3. Step 3: Cross multiply
    1,471,123,231,644.70x = 2,206,684,847,467 × 1,471,123,231,644.70
  4. Step 4: Simplify right side
    1,471,123,231,644.70x = 3,246,305,344,027,044,710,711,296
  5. Step 5: Solve for x
    x = 3,246,305,344,027,044,710,711,296/1,471,123,231,644.70
  6. Step 6: Final answer
    x = 2,206,684,847,467

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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.