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Finding the Fourth Proportional to 1,681,159,512.70, 2,517,204,305.85 and 1,681,159,512.70

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Solution

The fourth proportional to 1,681,159,512.70, 2,517,204,305.85 and 1,681,159,512.70 is: 2,517,204,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,159,512.70 : 2,517,204,305.85 = 1,681,159,512.70 : x
  2. Step 2: Convert to fraction form
    1,681,159,512.70/2,517,204,305.85 = 1,681,159,512.70/x
  3. Step 3: Cross multiply
    1,681,159,512.70x = 2,517,204,305.85 × 1,681,159,512.70
  4. Step 4: Simplify right side
    1,681,159,512.70x = 4,231,821,964,189,127,680
  5. Step 5: Solve for x
    x = 4,231,821,964,189,127,680/1,681,159,512.70
  6. Step 6: Final answer
    x = 2,517,204,305.85

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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.