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Finding the Fourth Proportional to 1,188,366,917,635, 1,782,550,376,452.70 and 1,188,366,917,635

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Solution

The fourth proportional to 1,188,366,917,635, 1,782,550,376,452.70 and 1,188,366,917,635 is: 1,782,550,376,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,366,917,635 : 1,782,550,376,452.70 = 1,188,366,917,635 : x
  2. Step 2: Convert to fraction form
    1,188,366,917,635/1,782,550,376,452.70 = 1,188,366,917,635/x
  3. Step 3: Cross multiply
    1,188,366,917,635x = 1,782,550,376,452.70 × 1,188,366,917,635
  4. Step 4: Simplify right side
    1,188,366,917,635x = 2,118,323,896,394,204,015,755,264
  5. Step 5: Solve for x
    x = 2,118,323,896,394,204,015,755,264/1,188,366,917,635
  6. Step 6: Final answer
    x = 1,782,550,376,452.70

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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.