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Finding the Fourth Proportional to 256,608,000.40, 384,912,000.60 and 238,468,147.60

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Solution

The fourth proportional to 256,608,000.40, 384,912,000.60 and 238,468,147.60 is: 357,702,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,608,000.40 : 384,912,000.60 = 238,468,147.60 : x
  2. Step 2: Convert to fraction form
    256,608,000.40/384,912,000.60 = 238,468,147.60/x
  3. Step 3: Cross multiply
    256,608,000.40x = 384,912,000.60 × 238,468,147.60
  4. Step 4: Simplify right side
    256,608,000.40x = 91,789,251,772,092,096
  5. Step 5: Solve for x
    x = 91,789,251,772,092,096/256,608,000.40
  6. Step 6: Final answer
    x = 357,702,221.40

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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.