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Finding the Fourth Proportional to 610,624,500.57, 913,625,472.38 and 361,763,418.33

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Solution

The fourth proportional to 610,624,500.57, 913,625,472.38 and 361,763,418.33 is: 541,275,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,624,500.57 : 913,625,472.38 = 361,763,418.33 : x
  2. Step 2: Convert to fraction form
    610,624,500.57/913,625,472.38 = 361,763,418.33/x
  3. Step 3: Cross multiply
    610,624,500.57x = 913,625,472.38 × 361,763,418.33
  4. Step 4: Simplify right side
    610,624,500.57x = 330,516,273,959,740,992
  5. Step 5: Solve for x
    x = 330,516,273,959,740,992/610,624,500.57
  6. Step 6: Final answer
    x = 541,275,814.60

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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.