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Finding the Fourth Proportional to 137,917,804,544.06, 206,876,706,816.09 and 137,917,804,544.06

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Solution

The fourth proportional to 137,917,804,544.06, 206,876,706,816.09 and 137,917,804,544.06 is: 206,876,706,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917,804,544.06 : 206,876,706,816.09 = 137,917,804,544.06 : x
  2. Step 2: Convert to fraction form
    137,917,804,544.06/206,876,706,816.09 = 137,917,804,544.06/x
  3. Step 3: Cross multiply
    137,917,804,544.06x = 206,876,706,816.09 × 137,917,804,544.06
  4. Step 4: Simplify right side
    137,917,804,544.06x = 28,531,981,215,380,306,657,280
  5. Step 5: Solve for x
    x = 28,531,981,215,380,306,657,280/137,917,804,544.06
  6. Step 6: Final answer
    x = 206,876,706,816.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.