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Finding the Fourth Proportional to 267,224,154.85, 400,836,232.28 and 267,224,154.85

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Solution

The fourth proportional to 267,224,154.85, 400,836,232.28 and 267,224,154.85 is: 400,836,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,224,154.85 : 400,836,232.28 = 267,224,154.85 : x
  2. Step 2: Convert to fraction form
    267,224,154.85/400,836,232.28 = 267,224,154.85/x
  3. Step 3: Cross multiply
    267,224,154.85x = 400,836,232.28 × 267,224,154.85
  4. Step 4: Simplify right side
    267,224,154.85x = 107,113,123,402,945,152
  5. Step 5: Solve for x
    x = 107,113,123,402,945,152/267,224,154.85
  6. Step 6: Final answer
    x = 400,836,232.28

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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.