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Finding the Fourth Proportional to 1,188,366,917,564, 1,782,550,376,346.20 and 1,188,366,917,564

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Solution

The fourth proportional to 1,188,366,917,564, 1,782,550,376,346.20 and 1,188,366,917,564 is: 1,782,550,376,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,366,917,564 : 1,782,550,376,346.20 = 1,188,366,917,564 : x
  2. Step 2: Convert to fraction form
    1,188,366,917,564/1,782,550,376,346.20 = 1,188,366,917,564/x
  3. Step 3: Cross multiply
    1,188,366,917,564x = 1,782,550,376,346.20 × 1,188,366,917,564
  4. Step 4: Simplify right side
    1,188,366,917,564x = 2,118,323,896,141,081,728,778,240
  5. Step 5: Solve for x
    x = 2,118,323,896,141,081,728,778,240/1,188,366,917,564
  6. Step 6: Final answer
    x = 1,782,550,376,346.20

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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.