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Finding the Fourth Proportional to 378,902,023.20, 568,353,034.80 and 256,458,016.80

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Solution

The fourth proportional to 378,902,023.20, 568,353,034.80 and 256,458,016.80 is: 384,687,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,902,023.20 : 568,353,034.80 = 256,458,016.80 : x
  2. Step 2: Convert to fraction form
    378,902,023.20/568,353,034.80 = 256,458,016.80/x
  3. Step 3: Cross multiply
    378,902,023.20x = 568,353,034.80 × 256,458,016.80
  4. Step 4: Simplify right side
    378,902,023.20x = 145,758,692,147,069,376
  5. Step 5: Solve for x
    x = 145,758,692,147,069,376/378,902,023.20
  6. Step 6: Final answer
    x = 384,687,025.20

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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.