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Finding the Fourth Proportional to 136,826,517,648.70, 191,818,338,588.50 and 136,826,517,648.70

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Solution

The fourth proportional to 136,826,517,648.70, 191,818,338,588.50 and 136,826,517,648.70 is: 191,818,338,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,826,517,648.70 : 191,818,338,588.50 = 136,826,517,648.70 : x
  2. Step 2: Convert to fraction form
    136,826,517,648.70/191,818,338,588.50 = 136,826,517,648.70/x
  3. Step 3: Cross multiply
    136,826,517,648.70x = 191,818,338,588.50 × 136,826,517,648.70
  4. Step 4: Simplify right side
    136,826,517,648.70x = 26,245,835,290,223,705,063,424
  5. Step 5: Solve for x
    x = 26,245,835,290,223,705,063,424/136,826,517,648.70
  6. Step 6: Final answer
    x = 191,818,338,588.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.