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Finding the Fourth Proportional to 1,834,893,893.18, 2,752,340,839.77 and 1,834,893,893.18

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Solution

The fourth proportional to 1,834,893,893.18, 2,752,340,839.77 and 1,834,893,893.18 is: 2,752,340,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,893,893.18 : 2,752,340,839.77 = 1,834,893,893.18 : x
  2. Step 2: Convert to fraction form
    1,834,893,893.18/2,752,340,839.77 = 1,834,893,893.18/x
  3. Step 3: Cross multiply
    1,834,893,893.18x = 2,752,340,839.77 × 1,834,893,893.18
  4. Step 4: Simplify right side
    1,834,893,893.18x = 5,050,253,398,820,948,992
  5. Step 5: Solve for x
    x = 5,050,253,398,820,948,992/1,834,893,893.18
  6. Step 6: Final answer
    x = 2,752,340,839.77

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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.