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Finding the Fourth Proportional to 476,440,672.40, 713,149,354.20 and 476,440,672.40

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Solution

The fourth proportional to 476,440,672.40, 713,149,354.20 and 476,440,672.40 is: 713,149,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,440,672.40 : 713,149,354.20 = 476,440,672.40 : x
  2. Step 2: Convert to fraction form
    476,440,672.40/713,149,354.20 = 476,440,672.40/x
  3. Step 3: Cross multiply
    476,440,672.40x = 713,149,354.20 × 476,440,672.40
  4. Step 4: Simplify right side
    476,440,672.40x = 339,773,357,836,673,792
  5. Step 5: Solve for x
    x = 339,773,357,836,673,792/476,440,672.40
  6. Step 6: Final answer
    x = 713,149,354.20

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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.