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Finding the Fourth Proportional to 472,565,405.80, 708,848,108.70 and 408,864,413.80

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Solution

The fourth proportional to 472,565,405.80, 708,848,108.70 and 408,864,413.80 is: 613,296,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,565,405.80 : 708,848,108.70 = 408,864,413.80 : x
  2. Step 2: Convert to fraction form
    472,565,405.80/708,848,108.70 = 408,864,413.80/x
  3. Step 3: Cross multiply
    472,565,405.80x = 708,848,108.70 × 408,864,413.80
  4. Step 4: Simplify right side
    472,565,405.80x = 289,822,766,436,864,192
  5. Step 5: Solve for x
    x = 289,822,766,436,864,192/472,565,405.80
  6. Step 6: Final answer
    x = 613,296,620.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.