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Finding the Fourth Proportional to 1,834,893,005.71, 2,752,339,508.56 and 1,834,893,005.71

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Solution

The fourth proportional to 1,834,893,005.71, 2,752,339,508.56 and 1,834,893,005.71 is: 2,752,339,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,893,005.71 : 2,752,339,508.56 = 1,834,893,005.71 : x
  2. Step 2: Convert to fraction form
    1,834,893,005.71/2,752,339,508.56 = 1,834,893,005.71/x
  3. Step 3: Cross multiply
    1,834,893,005.71x = 2,752,339,508.56 × 1,834,893,005.71
  4. Step 4: Simplify right side
    1,834,893,005.71x = 5,050,248,513,582,280,704
  5. Step 5: Solve for x
    x = 5,050,248,513,582,280,704/1,834,893,005.71
  6. Step 6: Final answer
    x = 2,752,339,508.56

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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.