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Finding the Fourth Proportional to 272,629,233,722.70, 408,943,850,584.05 and 272,629,233,722.70

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Solution

The fourth proportional to 272,629,233,722.70, 408,943,850,584.05 and 272,629,233,722.70 is: 408,943,850,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,629,233,722.70 : 408,943,850,584.05 = 272,629,233,722.70 : x
  2. Step 2: Convert to fraction form
    272,629,233,722.70/408,943,850,584.05 = 272,629,233,722.70/x
  3. Step 3: Cross multiply
    272,629,233,722.70x = 408,943,850,584.05 × 272,629,233,722.70
  4. Step 4: Simplify right side
    272,629,233,722.70x = 111,490,048,620,339,876,855,808
  5. Step 5: Solve for x
    x = 111,490,048,620,339,876,855,808/272,629,233,722.70
  6. Step 6: Final answer
    x = 408,943,850,584.05

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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.