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Finding the Fourth Proportional to 314,839,229.40, 434,617,455.06 and 203,384,413.80

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Solution

The fourth proportional to 314,839,229.40, 434,617,455.06 and 203,384,413.80 is: 280,760,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,839,229.40 : 434,617,455.06 = 203,384,413.80 : x
  2. Step 2: Convert to fraction form
    314,839,229.40/434,617,455.06 = 203,384,413.80/x
  3. Step 3: Cross multiply
    314,839,229.40x = 434,617,455.06 × 203,384,413.80
  4. Step 4: Simplify right side
    314,839,229.40x = 88,394,416,324,625,952
  5. Step 5: Solve for x
    x = 88,394,416,324,625,952/314,839,229.40
  6. Step 6: Final answer
    x = 280,760,490.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.