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Finding the Fourth Proportional to 652,609,642.60, 978,914,463.90 and 491,366,506.60

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Solution

The fourth proportional to 652,609,642.60, 978,914,463.90 and 491,366,506.60 is: 737,049,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,609,642.60 : 978,914,463.90 = 491,366,506.60 : x
  2. Step 2: Convert to fraction form
    652,609,642.60/978,914,463.90 = 491,366,506.60/x
  3. Step 3: Cross multiply
    652,609,642.60x = 978,914,463.90 × 491,366,506.60
  4. Step 4: Simplify right side
    652,609,642.60x = 481,005,780,386,754,816
  5. Step 5: Solve for x
    x = 481,005,780,386,754,816/652,609,642.60
  6. Step 6: Final answer
    x = 737,049,759.90

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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.