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Finding the Fourth Proportional to 2,640,198,889,307.40, 3,960,298,333,961.40 and 2,640,198,889,307.40

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Solution

The fourth proportional to 2,640,198,889,307.40, 3,960,298,333,961.40 and 2,640,198,889,307.40 is: 3,960,298,333,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,198,889,307.40 : 3,960,298,333,961.40 = 2,640,198,889,307.40 : x
  2. Step 2: Convert to fraction form
    2,640,198,889,307.40/3,960,298,333,961.40 = 2,640,198,889,307.40/x
  3. Step 3: Cross multiply
    2,640,198,889,307.40x = 3,960,298,333,961.40 × 2,640,198,889,307.40
  4. Step 4: Simplify right side
    2,640,198,889,307.40x = 10,455,975,262,650,835,161,579,520
  5. Step 5: Solve for x
    x = 10,455,975,262,650,835,161,579,520/2,640,198,889,307.40
  6. Step 6: Final answer
    x = 3,960,298,333,961.40

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