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Finding the Fourth Proportional to 1,188,366,917,575, 1,782,550,376,362.70 and 1,188,366,917,575

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Solution

The fourth proportional to 1,188,366,917,575, 1,782,550,376,362.70 and 1,188,366,917,575 is: 1,782,550,376,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,366,917,575 : 1,782,550,376,362.70 = 1,188,366,917,575 : x
  2. Step 2: Convert to fraction form
    1,188,366,917,575/1,782,550,376,362.70 = 1,188,366,917,575/x
  3. Step 3: Cross multiply
    1,188,366,917,575x = 1,782,550,376,362.70 × 1,188,366,917,575
  4. Step 4: Simplify right side
    1,188,366,917,575x = 2,118,323,896,180,298,001,416,192
  5. Step 5: Solve for x
    x = 2,118,323,896,180,298,001,416,192/1,188,366,917,575
  6. Step 6: Final answer
    x = 1,782,550,376,362.70

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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.