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Finding the Fourth Proportional to 178,125,770.40, 267,188,655.60 and 178,125,770.40

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Solution

The fourth proportional to 178,125,770.40, 267,188,655.60 and 178,125,770.40 is: 267,188,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,125,770.40 : 267,188,655.60 = 178,125,770.40 : x
  2. Step 2: Convert to fraction form
    178,125,770.40/267,188,655.60 = 178,125,770.40/x
  3. Step 3: Cross multiply
    178,125,770.40x = 267,188,655.60 × 178,125,770.40
  4. Step 4: Simplify right side
    178,125,770.40x = 47,593,185,120,890,272
  5. Step 5: Solve for x
    x = 47,593,185,120,890,272/178,125,770.40
  6. Step 6: Final answer
    x = 267,188,655.60

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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.