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Finding the Fourth Proportional to 2,065,904,865.30, 3,098,857,297.95 and 2,065,904,865.30

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Solution

The fourth proportional to 2,065,904,865.30, 3,098,857,297.95 and 2,065,904,865.30 is: 3,098,857,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,904,865.30 : 3,098,857,297.95 = 2,065,904,865.30 : x
  2. Step 2: Convert to fraction form
    2,065,904,865.30/3,098,857,297.95 = 2,065,904,865.30/x
  3. Step 3: Cross multiply
    2,065,904,865.30x = 3,098,857,297.95 × 2,065,904,865.30
  4. Step 4: Simplify right side
    2,065,904,865.30x = 6,401,944,368,705,315,840
  5. Step 5: Solve for x
    x = 6,401,944,368,705,315,840/2,065,904,865.30
  6. Step 6: Final answer
    x = 3,098,857,297.95

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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.