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Finding the Fourth Proportional to 1,099,206,019.80, 1,648,809,029.70 and 582,645,367.80

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Solution

The fourth proportional to 1,099,206,019.80, 1,648,809,029.70 and 582,645,367.80 is: 873,968,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,206,019.80 : 1,648,809,029.70 = 582,645,367.80 : x
  2. Step 2: Convert to fraction form
    1,099,206,019.80/1,648,809,029.70 = 582,645,367.80/x
  3. Step 3: Cross multiply
    1,099,206,019.80x = 1,648,809,029.70 × 582,645,367.80
  4. Step 4: Simplify right side
    1,099,206,019.80x = 960,670,943,541,517,568
  5. Step 5: Solve for x
    x = 960,670,943,541,517,568/1,099,206,019.80
  6. Step 6: Final answer
    x = 873,968,051.70

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Double scale
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1.5x scale

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.