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Finding the Fourth Proportional to 2,869,344,564.95, 4,304,016,847.43 and 2,869,344,564.95

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Solution

The fourth proportional to 2,869,344,564.95, 4,304,016,847.43 and 2,869,344,564.95 is: 4,304,016,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,344,564.95 : 4,304,016,847.43 = 2,869,344,564.95 : x
  2. Step 2: Convert to fraction form
    2,869,344,564.95/4,304,016,847.43 = 2,869,344,564.95/x
  3. Step 3: Cross multiply
    2,869,344,564.95x = 4,304,016,847.43 × 2,869,344,564.95
  4. Step 4: Simplify right side
    2,869,344,564.95x = 12,349,707,348,626,503,680
  5. Step 5: Solve for x
    x = 12,349,707,348,626,503,680/2,869,344,564.95
  6. Step 6: Final answer
    x = 4,304,016,847.43

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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.