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Finding the Fourth Proportional to 45,515,694,912.35, 68,273,542,368.53 and 45,515,694,912.35

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Solution

The fourth proportional to 45,515,694,912.35, 68,273,542,368.53 and 45,515,694,912.35 is: 68,273,542,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,515,694,912.35 : 68,273,542,368.53 = 45,515,694,912.35 : x
  2. Step 2: Convert to fraction form
    45,515,694,912.35/68,273,542,368.53 = 45,515,694,912.35/x
  3. Step 3: Cross multiply
    45,515,694,912.35x = 68,273,542,368.53 × 45,515,694,912.35
  4. Step 4: Simplify right side
    45,515,694,912.35x = 3,107,517,725,031,413,055,488
  5. Step 5: Solve for x
    x = 3,107,517,725,031,413,055,488/45,515,694,912.35
  6. Step 6: Final answer
    x = 68,273,542,368.53

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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.