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Finding the Fourth Proportional to 4,274,279,535,814.80, 6,411,419,303,722.40 and 4,274,279,535,814.80

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Solution

The fourth proportional to 4,274,279,535,814.80, 6,411,419,303,722.40 and 4,274,279,535,814.80 is: 6,411,419,303,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274,279,535,814.80 : 6,411,419,303,722.40 = 4,274,279,535,814.80 : x
  2. Step 2: Convert to fraction form
    4,274,279,535,814.80/6,411,419,303,722.40 = 4,274,279,535,814.80/x
  3. Step 3: Cross multiply
    4,274,279,535,814.80x = 6,411,419,303,722.40 × 4,274,279,535,814.80
  4. Step 4: Simplify right side
    4,274,279,535,814.80x = 27,404,198,325,428,629,299,789,824
  5. Step 5: Solve for x
    x = 27,404,198,325,428,629,299,789,824/4,274,279,535,814.80
  6. Step 6: Final answer
    x = 6,411,419,303,722.40

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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.