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Finding the Fourth Proportional to 33,822,648,032.80, 50,733,972,049.20 and 33,822,648,032.80

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Solution

The fourth proportional to 33,822,648,032.80, 50,733,972,049.20 and 33,822,648,032.80 is: 50,733,972,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,822,648,032.80 : 50,733,972,049.20 = 33,822,648,032.80 : x
  2. Step 2: Convert to fraction form
    33,822,648,032.80/50,733,972,049.20 = 33,822,648,032.80/x
  3. Step 3: Cross multiply
    33,822,648,032.80x = 50,733,972,049.20 × 33,822,648,032.80
  4. Step 4: Simplify right side
    33,822,648,032.80x = 1,715,957,279,926,004,482,048
  5. Step 5: Solve for x
    x = 1,715,957,279,926,004,482,048/33,822,648,032.80
  6. Step 6: Final answer
    x = 50,733,972,049.20

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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.