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Finding the Fourth Proportional to 3,685,175,998.20, 5,527,763,997.30 and 3,685,175,998.20

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Solution

The fourth proportional to 3,685,175,998.20, 5,527,763,997.30 and 3,685,175,998.20 is: 5,527,763,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685,175,998.20 : 5,527,763,997.30 = 3,685,175,998.20 : x
  2. Step 2: Convert to fraction form
    3,685,175,998.20/5,527,763,997.30 = 3,685,175,998.20/x
  3. Step 3: Cross multiply
    3,685,175,998.20x = 5,527,763,997.30 × 3,685,175,998.20
  4. Step 4: Simplify right side
    3,685,175,998.20x = 20,370,783,206,564,048,896
  5. Step 5: Solve for x
    x = 20,370,783,206,564,048,896/3,685,175,998.20
  6. Step 6: Final answer
    x = 5,527,763,997.30

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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.