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Finding the Fourth Proportional to 1,794,464,468.80, 2,694,468,069.60 and 978,171,092.80

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Solution

The fourth proportional to 1,794,464,468.80, 2,694,468,069.60 and 978,171,092.80 is: 1,468,767,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794,464,468.80 : 2,694,468,069.60 = 978,171,092.80 : x
  2. Step 2: Convert to fraction form
    1,794,464,468.80/2,694,468,069.60 = 978,171,092.80/x
  3. Step 3: Cross multiply
    1,794,464,468.80x = 2,694,468,069.60 × 978,171,092.80
  4. Step 4: Simplify right side
    1,794,464,468.80x = 2,635,650,776,155,338,240
  5. Step 5: Solve for x
    x = 2,635,650,776,155,338,240/1,794,464,468.80
  6. Step 6: Final answer
    x = 1,468,767,324.17

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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.