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Finding the Fourth Proportional to 1,099,334,968.70, 1,649,002,453.05 and 978,804,149.90

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Solution

The fourth proportional to 1,099,334,968.70, 1,649,002,453.05 and 978,804,149.90 is: 1,468,206,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,334,968.70 : 1,649,002,453.05 = 978,804,149.90 : x
  2. Step 2: Convert to fraction form
    1,099,334,968.70/1,649,002,453.05 = 978,804,149.90/x
  3. Step 3: Cross multiply
    1,099,334,968.70x = 1,649,002,453.05 × 978,804,149.90
  4. Step 4: Simplify right side
    1,099,334,968.70x = 1,614,050,444,240,619,776
  5. Step 5: Solve for x
    x = 1,614,050,444,240,619,776/1,099,334,968.70
  6. Step 6: Final answer
    x = 1,468,206,224.85

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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.