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Finding the Fourth Proportional to 2,689,962,433,231.80, 4,034,943,649,847.80 and 2,689,962,433,231.80

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Solution

The fourth proportional to 2,689,962,433,231.80, 4,034,943,649,847.80 and 2,689,962,433,231.80 is: 4,034,943,649,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689,962,433,231.80 : 4,034,943,649,847.80 = 2,689,962,433,231.80 : x
  2. Step 2: Convert to fraction form
    2,689,962,433,231.80/4,034,943,649,847.80 = 2,689,962,433,231.80/x
  3. Step 3: Cross multiply
    2,689,962,433,231.80x = 4,034,943,649,847.80 × 2,689,962,433,231.80
  4. Step 4: Simplify right side
    2,689,962,433,231.80x = 10,853,846,838,297,786,669,072,384
  5. Step 5: Solve for x
    x = 10,853,846,838,297,786,669,072,384/2,689,962,433,231.80
  6. Step 6: Final answer
    x = 4,034,943,649,847.80

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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.