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Finding the Fourth Proportional to 1,188,366,917,571, 1,782,550,376,356.70 and 1,188,366,917,571

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Solution

The fourth proportional to 1,188,366,917,571, 1,782,550,376,356.70 and 1,188,366,917,571 is: 1,782,550,376,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,366,917,571 : 1,782,550,376,356.70 = 1,188,366,917,571 : x
  2. Step 2: Convert to fraction form
    1,188,366,917,571/1,782,550,376,356.70 = 1,188,366,917,571/x
  3. Step 3: Cross multiply
    1,188,366,917,571x = 1,782,550,376,356.70 × 1,188,366,917,571
  4. Step 4: Simplify right side
    1,188,366,917,571x = 2,118,323,896,166,037,367,816,192
  5. Step 5: Solve for x
    x = 2,118,323,896,166,037,367,816,192/1,188,366,917,571
  6. Step 6: Final answer
    x = 1,782,550,376,356.70

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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.