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Finding the Fourth Proportional to 3,669,786,311.23, 5,504,679,466.84 and 3,669,786,311.23

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Solution

The fourth proportional to 3,669,786,311.23, 5,504,679,466.84 and 3,669,786,311.23 is: 5,504,679,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,786,311.23 : 5,504,679,466.84 = 3,669,786,311.23 : x
  2. Step 2: Convert to fraction form
    3,669,786,311.23/5,504,679,466.84 = 3,669,786,311.23/x
  3. Step 3: Cross multiply
    3,669,786,311.23x = 5,504,679,466.84 × 3,669,786,311.23
  4. Step 4: Simplify right side
    3,669,786,311.23x = 20,200,997,355,118,288,896
  5. Step 5: Solve for x
    x = 20,200,997,355,118,288,896/3,669,786,311.23
  6. Step 6: Final answer
    x = 5,504,679,466.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.