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Finding the Fourth Proportional to 1,471,123,231,694.50, 2,206,684,847,541.50 and 1,471,123,231,694.50

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Solution

The fourth proportional to 1,471,123,231,694.50, 2,206,684,847,541.50 and 1,471,123,231,694.50 is: 2,206,684,847,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,123,231,694.50 : 2,206,684,847,541.50 = 1,471,123,231,694.50 : x
  2. Step 2: Convert to fraction form
    1,471,123,231,694.50/2,206,684,847,541.50 = 1,471,123,231,694.50/x
  3. Step 3: Cross multiply
    1,471,123,231,694.50x = 2,206,684,847,541.50 × 1,471,123,231,694.50
  4. Step 4: Simplify right side
    1,471,123,231,694.50x = 3,246,305,344,246,536,330,018,816
  5. Step 5: Solve for x
    x = 3,246,305,344,246,536,330,018,816/1,471,123,231,694.50
  6. Step 6: Final answer
    x = 2,206,684,847,541.50

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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.