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Finding the Fourth Proportional to 1,188,366,917,542, 1,782,550,376,313.20 and 1,188,366,917,542

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Solution

The fourth proportional to 1,188,366,917,542, 1,782,550,376,313.20 and 1,188,366,917,542 is: 1,782,550,376,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,366,917,542 : 1,782,550,376,313.20 = 1,188,366,917,542 : x
  2. Step 2: Convert to fraction form
    1,188,366,917,542/1,782,550,376,313.20 = 1,188,366,917,542/x
  3. Step 3: Cross multiply
    1,188,366,917,542x = 1,782,550,376,313.20 × 1,188,366,917,542
  4. Step 4: Simplify right side
    1,188,366,917,542x = 2,118,323,896,062,649,451,937,792
  5. Step 5: Solve for x
    x = 2,118,323,896,062,649,451,937,792/1,188,366,917,542
  6. Step 6: Final answer
    x = 1,782,550,376,313.20

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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.