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Finding the Fourth Proportional to 2,427,083,999.40, 3,640,625,999.13 and 2,427,083,999.40

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Solution

The fourth proportional to 2,427,083,999.40, 3,640,625,999.13 and 2,427,083,999.40 is: 3,640,625,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427,083,999.40 : 3,640,625,999.13 = 2,427,083,999.40 : x
  2. Step 2: Convert to fraction form
    2,427,083,999.40/3,640,625,999.13 = 2,427,083,999.40/x
  3. Step 3: Cross multiply
    2,427,083,999.40x = 3,640,625,999.13 × 2,427,083,999.40
  4. Step 4: Simplify right side
    2,427,083,999.40x = 8,836,105,110,288,061,440
  5. Step 5: Solve for x
    x = 8,836,105,110,288,061,440/2,427,083,999.40
  6. Step 6: Final answer
    x = 3,640,625,999.13

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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.