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Finding the Fourth Proportional to 1,471,123,231,682, 2,206,684,847,522.80 and 1,471,123,231,682

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Solution

The fourth proportional to 1,471,123,231,682, 2,206,684,847,522.80 and 1,471,123,231,682 is: 2,206,684,847,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,123,231,682 : 2,206,684,847,522.80 = 1,471,123,231,682 : x
  2. Step 2: Convert to fraction form
    1,471,123,231,682/2,206,684,847,522.80 = 1,471,123,231,682/x
  3. Step 3: Cross multiply
    1,471,123,231,682x = 2,206,684,847,522.80 × 1,471,123,231,682
  4. Step 4: Simplify right side
    1,471,123,231,682x = 3,246,305,344,191,442,637,029,376
  5. Step 5: Solve for x
    x = 3,246,305,344,191,442,637,029,376/1,471,123,231,682
  6. Step 6: Final answer
    x = 2,206,684,847,522.80

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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.