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Finding the Fourth Proportional to 137,144,993,251.65, 205,717,489,877.48 and 137,144,993,251.65

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Solution

The fourth proportional to 137,144,993,251.65, 205,717,489,877.48 and 137,144,993,251.65 is: 205,717,489,877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,144,993,251.65 : 205,717,489,877.48 = 137,144,993,251.65 : x
  2. Step 2: Convert to fraction form
    137,144,993,251.65/205,717,489,877.48 = 137,144,993,251.65/x
  3. Step 3: Cross multiply
    137,144,993,251.65x = 205,717,489,877.48 × 137,144,993,251.65
  4. Step 4: Simplify right side
    137,144,993,251.65x = 28,213,123,760,993,372,995,584
  5. Step 5: Solve for x
    x = 28,213,123,760,993,372,995,584/137,144,993,251.65
  6. Step 6: Final answer
    x = 205,717,489,877.48

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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.