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Finding the Fourth Proportional to 2,049,588,609.90, 3,074,382,914.85 and 2,049,588,609.90

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Solution

The fourth proportional to 2,049,588,609.90, 3,074,382,914.85 and 2,049,588,609.90 is: 3,074,382,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,588,609.90 : 3,074,382,914.85 = 2,049,588,609.90 : x
  2. Step 2: Convert to fraction form
    2,049,588,609.90/3,074,382,914.85 = 2,049,588,609.90/x
  3. Step 3: Cross multiply
    2,049,588,609.90x = 3,074,382,914.85 × 2,049,588,609.90
  4. Step 4: Simplify right side
    2,049,588,609.90x = 6,301,220,204,747,721,728
  5. Step 5: Solve for x
    x = 6,301,220,204,747,721,728/2,049,588,609.90
  6. Step 6: Final answer
    x = 3,074,382,914.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.