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Finding the Fourth Proportional to 2,040,090,963.90, 2,861,569,305.30 and 2,040,090,963.90

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Solution

The fourth proportional to 2,040,090,963.90, 2,861,569,305.30 and 2,040,090,963.90 is: 2,861,569,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,090,963.90 : 2,861,569,305.30 = 2,040,090,963.90 : x
  2. Step 2: Convert to fraction form
    2,040,090,963.90/2,861,569,305.30 = 2,040,090,963.90/x
  3. Step 3: Cross multiply
    2,040,090,963.90x = 2,861,569,305.30 × 2,040,090,963.90
  4. Step 4: Simplify right side
    2,040,090,963.90x = 5,837,861,682,316,131,328
  5. Step 5: Solve for x
    x = 5,837,861,682,316,131,328/2,040,090,963.90
  6. Step 6: Final answer
    x = 2,861,569,305.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.