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Finding the Fourth Proportional to 267,209,445,091.20, 400,814,167,636.80 and 267,209,445,091.20

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Solution

The fourth proportional to 267,209,445,091.20, 400,814,167,636.80 and 267,209,445,091.20 is: 400,814,167,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,209,445,091.20 : 400,814,167,636.80 = 267,209,445,091.20 : x
  2. Step 2: Convert to fraction form
    267,209,445,091.20/400,814,167,636.80 = 267,209,445,091.20/x
  3. Step 3: Cross multiply
    267,209,445,091.20x = 400,814,167,636.80 × 267,209,445,091.20
  4. Step 4: Simplify right side
    267,209,445,091.20x = 107,101,331,318,920,548,712,448
  5. Step 5: Solve for x
    x = 107,101,331,318,920,548,712,448/267,209,445,091.20
  6. Step 6: Final answer
    x = 400,814,167,636.80

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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.