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Finding the Fourth Proportional to 137,917,804,474.08, 206,876,706,711.10 and 137,917,804,474.08

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Solution

The fourth proportional to 137,917,804,474.08, 206,876,706,711.10 and 137,917,804,474.08 is: 206,876,706,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917,804,474.08 : 206,876,706,711.10 = 137,917,804,474.08 : x
  2. Step 2: Convert to fraction form
    137,917,804,474.08/206,876,706,711.10 = 137,917,804,474.08/x
  3. Step 3: Cross multiply
    137,917,804,474.08x = 206,876,706,711.10 × 137,917,804,474.08
  4. Step 4: Simplify right side
    137,917,804,474.08x = 28,531,981,186,423,083,499,520
  5. Step 5: Solve for x
    x = 28,531,981,186,423,083,499,520/137,917,804,474.08
  6. Step 6: Final answer
    x = 206,876,706,711.10

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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.