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Finding the Fourth Proportional to 497,751,504.80, 746,627,257.20 and 344,696,496.80

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Solution

The fourth proportional to 497,751,504.80, 746,627,257.20 and 344,696,496.80 is: 517,044,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,751,504.80 : 746,627,257.20 = 344,696,496.80 : x
  2. Step 2: Convert to fraction form
    497,751,504.80/746,627,257.20 = 344,696,496.80/x
  3. Step 3: Cross multiply
    497,751,504.80x = 746,627,257.20 × 344,696,496.80
  4. Step 4: Simplify right side
    497,751,504.80x = 257,359,799,972,232,608
  5. Step 5: Solve for x
    x = 257,359,799,972,232,608/497,751,504.80
  6. Step 6: Final answer
    x = 517,044,745.20

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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.