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Finding the Fourth Proportional to 1,188,366,917,573, 1,782,550,376,359.70 and 1,188,366,917,573

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Solution

The fourth proportional to 1,188,366,917,573, 1,782,550,376,359.70 and 1,188,366,917,573 is: 1,782,550,376,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,366,917,573 : 1,782,550,376,359.70 = 1,188,366,917,573 : x
  2. Step 2: Convert to fraction form
    1,188,366,917,573/1,782,550,376,359.70 = 1,188,366,917,573/x
  3. Step 3: Cross multiply
    1,188,366,917,573x = 1,782,550,376,359.70 × 1,188,366,917,573
  4. Step 4: Simplify right side
    1,188,366,917,573x = 2,118,323,896,173,167,550,398,464
  5. Step 5: Solve for x
    x = 2,118,323,896,173,167,550,398,464/1,188,366,917,573
  6. Step 6: Final answer
    x = 1,782,550,376,359.70

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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.