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Finding the Fourth Proportional to 178,094,988,000.08, 267,142,482,000.11 and 178,094,988,000.08

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Solution

The fourth proportional to 178,094,988,000.08, 267,142,482,000.11 and 178,094,988,000.08 is: 267,142,482,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,094,988,000.08 : 267,142,482,000.11 = 178,094,988,000.08 : x
  2. Step 2: Convert to fraction form
    178,094,988,000.08/267,142,482,000.11 = 178,094,988,000.08/x
  3. Step 3: Cross multiply
    178,094,988,000.08x = 267,142,482,000.11 × 178,094,988,000.08
  4. Step 4: Simplify right side
    178,094,988,000.08x = 47,576,737,126,121,172,107,264
  5. Step 5: Solve for x
    x = 47,576,737,126,121,172,107,264/178,094,988,000.08
  6. Step 6: Final answer
    x = 267,142,482,000.11

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1.5x scale

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.