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Finding the Fourth Proportional to 1,794,454,266.30, 2,694,452,765.85 and 978,160,890.30

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Solution

The fourth proportional to 1,794,454,266.30, 2,694,452,765.85 and 978,160,890.30 is: 1,468,752,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794,454,266.30 : 2,694,452,765.85 = 978,160,890.30 : x
  2. Step 2: Convert to fraction form
    1,794,454,266.30/2,694,452,765.85 = 978,160,890.30/x
  3. Step 3: Cross multiply
    1,794,454,266.30x = 2,694,452,765.85 × 978,160,890.30
  4. Step 4: Simplify right side
    1,794,454,266.30x = 2,635,608,316,315,133,440
  5. Step 5: Solve for x
    x = 2,635,608,316,315,133,440/1,794,454,266.30
  6. Step 6: Final answer
    x = 1,468,752,013.25

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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.