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Finding the Fourth Proportional to 3,863,284,366.20, 5,794,926,549.30 and 3,863,284,366.20

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Solution

The fourth proportional to 3,863,284,366.20, 5,794,926,549.30 and 3,863,284,366.20 is: 5,794,926,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863,284,366.20 : 5,794,926,549.30 = 3,863,284,366.20 : x
  2. Step 2: Convert to fraction form
    3,863,284,366.20/5,794,926,549.30 = 3,863,284,366.20/x
  3. Step 3: Cross multiply
    3,863,284,366.20x = 5,794,926,549.30 × 3,863,284,366.20
  4. Step 4: Simplify right side
    3,863,284,366.20x = 22,387,449,141,188,001,792
  5. Step 5: Solve for x
    x = 22,387,449,141,188,001,792/3,863,284,366.20
  6. Step 6: Final answer
    x = 5,794,926,549.30

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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.