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Finding the Fourth Proportional to 497,991,702.60, 746,987,553.90 and 325,999,024.20

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Solution

The fourth proportional to 497,991,702.60, 746,987,553.90 and 325,999,024.20 is: 488,998,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,991,702.60 : 746,987,553.90 = 325,999,024.20 : x
  2. Step 2: Convert to fraction form
    497,991,702.60/746,987,553.90 = 325,999,024.20/x
  3. Step 3: Cross multiply
    497,991,702.60x = 746,987,553.90 × 325,999,024.20
  4. Step 4: Simplify right side
    497,991,702.60x = 243,517,213,660,944,896
  5. Step 5: Solve for x
    x = 243,517,213,660,944,896/497,991,702.60
  6. Step 6: Final answer
    x = 488,998,536.30

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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.