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Finding the Fourth Proportional to 4,205,129,943.90, 6,307,694,915.85 and 4,205,129,943.90

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Solution

The fourth proportional to 4,205,129,943.90, 6,307,694,915.85 and 4,205,129,943.90 is: 6,307,694,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,129,943.90 : 6,307,694,915.85 = 4,205,129,943.90 : x
  2. Step 2: Convert to fraction form
    4,205,129,943.90/6,307,694,915.85 = 4,205,129,943.90/x
  3. Step 3: Cross multiply
    4,205,129,943.90x = 6,307,694,915.85 × 4,205,129,943.90
  4. Step 4: Simplify right side
    4,205,129,943.90x = 26,524,676,767,626,629,120
  5. Step 5: Solve for x
    x = 26,524,676,767,626,629,120/4,205,129,943.90
  6. Step 6: Final answer
    x = 6,307,694,915.85

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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.