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Finding the Fourth Proportional to 267,373,872,562.30, 401,060,808,843.46 and 267,373,872,562.30

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Solution

The fourth proportional to 267,373,872,562.30, 401,060,808,843.46 and 267,373,872,562.30 is: 401,060,808,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,373,872,562.30 : 401,060,808,843.46 = 267,373,872,562.30 : x
  2. Step 2: Convert to fraction form
    267,373,872,562.30/401,060,808,843.46 = 267,373,872,562.30/x
  3. Step 3: Cross multiply
    267,373,872,562.30x = 401,060,808,843.46 × 267,373,872,562.30
  4. Step 4: Simplify right side
    267,373,872,562.30x = 107,233,181,593,444,234,035,200
  5. Step 5: Solve for x
    x = 107,233,181,593,444,234,035,200/267,373,872,562.30
  6. Step 6: Final answer
    x = 401,060,808,843.46

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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.