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Finding the Fourth Proportional to 267,142,482,002.17, 400,713,723,003.26 and 267,142,482,002.17

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Solution

The fourth proportional to 267,142,482,002.17, 400,713,723,003.26 and 267,142,482,002.17 is: 400,713,723,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142,482,002.17 : 400,713,723,003.26 = 267,142,482,002.17 : x
  2. Step 2: Convert to fraction form
    267,142,482,002.17/400,713,723,003.26 = 267,142,482,002.17/x
  3. Step 3: Cross multiply
    267,142,482,002.17x = 400,713,723,003.26 × 267,142,482,002.17
  4. Step 4: Simplify right side
    267,142,482,002.17x = 107,047,658,535,420,933,701,632
  5. Step 5: Solve for x
    x = 107,047,658,535,420,933,701,632/267,142,482,002.17
  6. Step 6: Final answer
    x = 400,713,723,003.26

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Double scale
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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.