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Finding the Fourth Proportional to 218,497,200.80, 327,651,322.80 and 109,280,170.40

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Solution

The fourth proportional to 218,497,200.80, 327,651,322.80 and 109,280,170.40 is: 163,873,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,497,200.80 : 327,651,322.80 = 109,280,170.40 : x
  2. Step 2: Convert to fraction form
    218,497,200.80/327,651,322.80 = 109,280,170.40/x
  3. Step 3: Cross multiply
    218,497,200.80x = 327,651,322.80 × 109,280,170.40
  4. Step 4: Simplify right side
    218,497,200.80x = 35,805,792,387,369,408
  5. Step 5: Solve for x
    x = 35,805,792,387,369,408/218,497,200.80
  6. Step 6: Final answer
    x = 163,873,002.75

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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.