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Finding the Fourth Proportional to 5,169,858,117,731.70, 7,754,787,176,606.90 and 5,169,858,117,731.70

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Solution

The fourth proportional to 5,169,858,117,731.70, 7,754,787,176,606.90 and 5,169,858,117,731.70 is: 7,754,787,176,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169,858,117,731.70 : 7,754,787,176,606.90 = 5,169,858,117,731.70 : x
  2. Step 2: Convert to fraction form
    5,169,858,117,731.70/7,754,787,176,606.90 = 5,169,858,117,731.70/x
  3. Step 3: Cross multiply
    5,169,858,117,731.70x = 7,754,787,176,606.90 × 5,169,858,117,731.70
  4. Step 4: Simplify right side
    5,169,858,117,731.70x = 40,091,149,436,262,876,255,879,168
  5. Step 5: Solve for x
    x = 40,091,149,436,262,876,255,879,168/5,169,858,117,731.70
  6. Step 6: Final answer
    x = 7,754,787,176,606.90

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