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Finding the Fourth Proportional to 5,204,868,192,000.80, 7,807,302,288,001.40 and 5,204,868,192,000.80

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Solution

The fourth proportional to 5,204,868,192,000.80, 7,807,302,288,001.40 and 5,204,868,192,000.80 is: 7,807,302,288,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204,868,192,000.80 : 7,807,302,288,001.40 = 5,204,868,192,000.80 : x
  2. Step 2: Convert to fraction form
    5,204,868,192,000.80/7,807,302,288,001.40 = 5,204,868,192,000.80/x
  3. Step 3: Cross multiply
    5,204,868,192,000.80x = 7,807,302,288,001.40 × 5,204,868,192,000.80
  4. Step 4: Simplify right side
    5,204,868,192,000.80x = 40,635,979,344,153,558,283,976,704
  5. Step 5: Solve for x
    x = 40,635,979,344,153,558,283,976,704/5,204,868,192,000.80
  6. Step 6: Final answer
    x = 7,807,302,288,001.40

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