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Finding the Fourth Proportional to 178,114,632.90, 267,171,949.35 and 178,114,632.90

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Solution

The fourth proportional to 178,114,632.90, 267,171,949.35 and 178,114,632.90 is: 267,171,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,114,632.90 : 267,171,949.35 = 178,114,632.90 : x
  2. Step 2: Convert to fraction form
    178,114,632.90/267,171,949.35 = 178,114,632.90/x
  3. Step 3: Cross multiply
    178,114,632.90x = 267,171,949.35 × 178,114,632.90
  4. Step 4: Simplify right side
    178,114,632.90x = 47,587,233,679,652,648
  5. Step 5: Solve for x
    x = 47,587,233,679,652,648/178,114,632.90
  6. Step 6: Final answer
    x = 267,171,949.35

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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.