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Finding the Fourth Proportional to 543,447,375.60, 813,976,669.80 and 327,660,265.20

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Solution

The fourth proportional to 543,447,375.60, 813,976,669.80 and 327,660,265.20 is: 490,770,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,447,375.60 : 813,976,669.80 = 327,660,265.20 : x
  2. Step 2: Convert to fraction form
    543,447,375.60/813,976,669.80 = 327,660,265.20/x
  3. Step 3: Cross multiply
    543,447,375.60x = 813,976,669.80 × 327,660,265.20
  4. Step 4: Simplify right side
    543,447,375.60x = 266,707,811,493,280,800
  5. Step 5: Solve for x
    x = 266,707,811,493,280,800/543,447,375.60
  6. Step 6: Final answer
    x = 490,770,263.08

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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.