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Finding the Fourth Proportional to 431,690,413.80, 647,535,620.70 and 293,940,906.60

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Solution

The fourth proportional to 431,690,413.80, 647,535,620.70 and 293,940,906.60 is: 440,911,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,690,413.80 : 647,535,620.70 = 293,940,906.60 : x
  2. Step 2: Convert to fraction form
    431,690,413.80/647,535,620.70 = 293,940,906.60/x
  3. Step 3: Cross multiply
    431,690,413.80x = 647,535,620.70 × 293,940,906.60
  4. Step 4: Simplify right side
    431,690,413.80x = 190,337,207,404,351,744
  5. Step 5: Solve for x
    x = 190,337,207,404,351,744/431,690,413.80
  6. Step 6: Final answer
    x = 440,911,359.90

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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.