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Finding the Fourth Proportional to 1,275,906,822, 1,760,752,122.84 and 689,195,963.76

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Solution

The fourth proportional to 1,275,906,822, 1,760,752,122.84 and 689,195,963.76 is: 951,090,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,906,822 : 1,760,752,122.84 = 689,195,963.76 : x
  2. Step 2: Convert to fraction form
    1,275,906,822/1,760,752,122.84 = 689,195,963.76/x
  3. Step 3: Cross multiply
    1,275,906,822x = 1,760,752,122.84 × 689,195,963.76
  4. Step 4: Simplify right side
    1,275,906,822x = 1,213,503,256,243,179,520
  5. Step 5: Solve for x
    x = 1,213,503,256,243,179,520/1,275,906,822
  6. Step 6: Final answer
    x = 951,090,812.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.