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Finding the Fourth Proportional to 1,188,366,917,565, 1,782,550,376,347.70 and 1,188,366,917,565

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Solution

The fourth proportional to 1,188,366,917,565, 1,782,550,376,347.70 and 1,188,366,917,565 is: 1,782,550,376,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,366,917,565 : 1,782,550,376,347.70 = 1,188,366,917,565 : x
  2. Step 2: Convert to fraction form
    1,188,366,917,565/1,782,550,376,347.70 = 1,188,366,917,565/x
  3. Step 3: Cross multiply
    1,188,366,917,565x = 1,782,550,376,347.70 × 1,188,366,917,565
  4. Step 4: Simplify right side
    1,188,366,917,565x = 2,118,323,896,144,646,820,069,376
  5. Step 5: Solve for x
    x = 2,118,323,896,144,646,820,069,376/1,188,366,917,565
  6. Step 6: Final answer
    x = 1,782,550,376,347.70

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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.