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Finding the Fourth Proportional to 524,394,805.60, 787,488,003.60 and 343,444,175.20

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Solution

The fourth proportional to 524,394,805.60, 787,488,003.60 and 343,444,175.20 is: 515,752,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,394,805.60 : 787,488,003.60 = 343,444,175.20 : x
  2. Step 2: Convert to fraction form
    524,394,805.60/787,488,003.60 = 343,444,175.20/x
  3. Step 3: Cross multiply
    524,394,805.60x = 787,488,003.60 × 343,444,175.20
  4. Step 4: Simplify right side
    524,394,805.60x = 270,458,167,876,296,640
  5. Step 5: Solve for x
    x = 270,458,167,876,296,640/524,394,805.60
  6. Step 6: Final answer
    x = 515,752,949.85

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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.