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Finding the Fourth Proportional to 267,997,899.60, 401,146,543.80 and 267,997,899.60

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Solution

The fourth proportional to 267,997,899.60, 401,146,543.80 and 267,997,899.60 is: 401,146,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,997,899.60 : 401,146,543.80 = 267,997,899.60 : x
  2. Step 2: Convert to fraction form
    267,997,899.60/401,146,543.80 = 267,997,899.60/x
  3. Step 3: Cross multiply
    267,997,899.60x = 401,146,543.80 × 267,997,899.60
  4. Step 4: Simplify right side
    267,997,899.60x = 107,506,431,170,199,408
  5. Step 5: Solve for x
    x = 107,506,431,170,199,408/267,997,899.60
  6. Step 6: Final answer
    x = 401,146,543.80

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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.