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Finding the Fourth Proportional to 1,794,454,275.80, 2,694,452,780.10 and 978,160,899.80

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Solution

The fourth proportional to 1,794,454,275.80, 2,694,452,780.10 and 978,160,899.80 is: 1,468,752,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794,454,275.80 : 2,694,452,780.10 = 978,160,899.80 : x
  2. Step 2: Convert to fraction form
    1,794,454,275.80/2,694,452,780.10 = 978,160,899.80/x
  3. Step 3: Cross multiply
    1,794,454,275.80x = 2,694,452,780.10 × 978,160,899.80
  4. Step 4: Simplify right side
    1,794,454,275.80x = 2,635,608,355,851,227,136
  5. Step 5: Solve for x
    x = 2,635,608,355,851,227,136/1,794,454,275.80
  6. Step 6: Final answer
    x = 1,468,752,027.51

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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.