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Finding the Fourth Proportional to 178,121,189.40, 267,181,784.10 and 178,121,189.40

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Solution

The fourth proportional to 178,121,189.40, 267,181,784.10 and 178,121,189.40 is: 267,181,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,121,189.40 : 267,181,784.10 = 178,121,189.40 : x
  2. Step 2: Convert to fraction form
    178,121,189.40/267,181,784.10 = 178,121,189.40/x
  3. Step 3: Cross multiply
    178,121,189.40x = 267,181,784.10 × 178,121,189.40
  4. Step 4: Simplify right side
    178,121,189.40x = 47,590,737,169,906,008
  5. Step 5: Solve for x
    x = 47,590,737,169,906,008/178,121,189.40
  6. Step 6: Final answer
    x = 267,181,784.10

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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.