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Finding the Fourth Proportional to 137,942,729,664.80, 206,914,094,497.20 and 137,942,729,664.80

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Solution

The fourth proportional to 137,942,729,664.80, 206,914,094,497.20 and 137,942,729,664.80 is: 206,914,094,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,942,729,664.80 : 206,914,094,497.20 = 137,942,729,664.80 : x
  2. Step 2: Convert to fraction form
    137,942,729,664.80/206,914,094,497.20 = 137,942,729,664.80/x
  3. Step 3: Cross multiply
    137,942,729,664.80x = 206,914,094,497.20 × 137,942,729,664.80
  4. Step 4: Simplify right side
    137,942,729,664.80x = 28,542,295,001,064,141,750,272
  5. Step 5: Solve for x
    x = 28,542,295,001,064,141,750,272/137,942,729,664.80
  6. Step 6: Final answer
    x = 206,914,094,497.20

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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.