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Finding the Fourth Proportional to 178,094,988,002.20, 267,142,482,003.29 and 178,094,988,002.20

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Solution

The fourth proportional to 178,094,988,002.20, 267,142,482,003.29 and 178,094,988,002.20 is: 267,142,482,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,094,988,002.20 : 267,142,482,003.29 = 178,094,988,002.20 : x
  2. Step 2: Convert to fraction form
    178,094,988,002.20/267,142,482,003.29 = 178,094,988,002.20/x
  3. Step 3: Cross multiply
    178,094,988,002.20x = 267,142,482,003.29 × 178,094,988,002.20
  4. Step 4: Simplify right side
    178,094,988,002.20x = 47,576,737,127,253,869,068,288
  5. Step 5: Solve for x
    x = 47,576,737,127,253,869,068,288/178,094,988,002.20
  6. Step 6: Final answer
    x = 267,142,482,003.29

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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.