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Finding the Fourth Proportional to 3,981,313,999.80, 5,971,970,999.70 and 3,981,313,999.80

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Solution

The fourth proportional to 3,981,313,999.80, 5,971,970,999.70 and 3,981,313,999.80 is: 5,971,970,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981,313,999.80 : 5,971,970,999.70 = 3,981,313,999.80 : x
  2. Step 2: Convert to fraction form
    3,981,313,999.80/5,971,970,999.70 = 3,981,313,999.80/x
  3. Step 3: Cross multiply
    3,981,313,999.80x = 5,971,970,999.70 × 3,981,313,999.80
  4. Step 4: Simplify right side
    3,981,313,999.80x = 23,776,291,747,505,213,440
  5. Step 5: Solve for x
    x = 23,776,291,747,505,213,440/3,981,313,999.80
  6. Step 6: Final answer
    x = 5,971,970,999.70

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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.