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Finding the Fourth Proportional to 178,497,009.20, 267,745,513.80 and 178,497,009.20

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Solution

The fourth proportional to 178,497,009.20, 267,745,513.80 and 178,497,009.20 is: 267,745,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,497,009.20 : 267,745,513.80 = 178,497,009.20 : x
  2. Step 2: Convert to fraction form
    178,497,009.20/267,745,513.80 = 178,497,009.20/x
  3. Step 3: Cross multiply
    178,497,009.20x = 267,745,513.80 × 178,497,009.20
  4. Step 4: Simplify right side
    178,497,009.20x = 47,791,773,440,017,328
  5. Step 5: Solve for x
    x = 47,791,773,440,017,328/178,497,009.20
  6. Step 6: Final answer
    x = 267,745,513.80

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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.