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Finding the Fourth Proportional to 1,471,123,231,694, 2,206,684,847,540.80 and 1,471,123,231,694

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Solution

The fourth proportional to 1,471,123,231,694, 2,206,684,847,540.80 and 1,471,123,231,694 is: 2,206,684,847,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,123,231,694 : 2,206,684,847,540.80 = 1,471,123,231,694 : x
  2. Step 2: Convert to fraction form
    1,471,123,231,694/2,206,684,847,540.80 = 1,471,123,231,694/x
  3. Step 3: Cross multiply
    1,471,123,231,694x = 2,206,684,847,540.80 × 1,471,123,231,694
  4. Step 4: Simplify right side
    1,471,123,231,694x = 3,246,305,344,244,403,341,885,440
  5. Step 5: Solve for x
    x = 3,246,305,344,244,403,341,885,440/1,471,123,231,694
  6. Step 6: Final answer
    x = 2,206,684,847,540.80

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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.