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Finding the Fourth Proportional to 1,649,182,978.77, 2,275,856,342.08 and 896,451,368.43

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Solution

The fourth proportional to 1,649,182,978.77, 2,275,856,342.08 and 896,451,368.43 is: 1,237,094,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,182,978.77 : 2,275,856,342.08 = 896,451,368.43 : x
  2. Step 2: Convert to fraction form
    1,649,182,978.77/2,275,856,342.08 = 896,451,368.43/x
  3. Step 3: Cross multiply
    1,649,182,978.77x = 2,275,856,342.08 × 896,451,368.43
  4. Step 4: Simplify right side
    1,649,182,978.77x = 2,040,194,532,207,709,952
  5. Step 5: Solve for x
    x = 2,040,194,532,207,709,952/1,649,182,978.77
  6. Step 6: Final answer
    x = 1,237,094,099.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.