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Finding the Fourth Proportional to 2,442,707,711.70, 3,664,061,567.55 and 2,442,707,711.70

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Solution

The fourth proportional to 2,442,707,711.70, 3,664,061,567.55 and 2,442,707,711.70 is: 3,664,061,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442,707,711.70 : 3,664,061,567.55 = 2,442,707,711.70 : x
  2. Step 2: Convert to fraction form
    2,442,707,711.70/3,664,061,567.55 = 2,442,707,711.70/x
  3. Step 3: Cross multiply
    2,442,707,711.70x = 3,664,061,567.55 × 2,442,707,711.70
  4. Step 4: Simplify right side
    2,442,707,711.70x = 8,950,231,447,197,975,552
  5. Step 5: Solve for x
    x = 8,950,231,447,197,975,552/2,442,707,711.70
  6. Step 6: Final answer
    x = 3,664,061,567.55

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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.