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Finding the Fourth Proportional to 3,669,786,023.23, 5,504,679,034.86 and 3,669,786,023.23

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Solution

The fourth proportional to 3,669,786,023.23, 5,504,679,034.86 and 3,669,786,023.23 is: 5,504,679,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,786,023.23 : 5,504,679,034.86 = 3,669,786,023.23 : x
  2. Step 2: Convert to fraction form
    3,669,786,023.23/5,504,679,034.86 = 3,669,786,023.23/x
  3. Step 3: Cross multiply
    3,669,786,023.23x = 5,504,679,034.86 × 3,669,786,023.23
  4. Step 4: Simplify right side
    3,669,786,023.23x = 20,200,994,184,496,431,104
  5. Step 5: Solve for x
    x = 20,200,994,184,496,431,104/3,669,786,023.23
  6. Step 6: Final answer
    x = 5,504,679,034.86

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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.