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Finding the Fourth Proportional to 267,209,315,114.70, 400,813,972,672.06 and 267,209,315,114.70

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Solution

The fourth proportional to 267,209,315,114.70, 400,813,972,672.06 and 267,209,315,114.70 is: 400,813,972,672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,209,315,114.70 : 400,813,972,672.06 = 267,209,315,114.70 : x
  2. Step 2: Convert to fraction form
    267,209,315,114.70/400,813,972,672.06 = 267,209,315,114.70/x
  3. Step 3: Cross multiply
    267,209,315,114.70x = 400,813,972,672.06 × 267,209,315,114.70
  4. Step 4: Simplify right side
    267,209,315,114.70x = 107,101,227,126,103,237,197,824
  5. Step 5: Solve for x
    x = 107,101,227,126,103,237,197,824/267,209,315,114.70
  6. Step 6: Final answer
    x = 400,813,972,672.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.