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Finding the Fourth Proportional to 2,640,198,889,799.70, 3,960,298,334,699.40 and 2,640,198,889,799.70

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Solution

The fourth proportional to 2,640,198,889,799.70, 3,960,298,334,699.40 and 2,640,198,889,799.70 is: 3,960,298,334,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,198,889,799.70 : 3,960,298,334,699.40 = 2,640,198,889,799.70 : x
  2. Step 2: Convert to fraction form
    2,640,198,889,799.70/3,960,298,334,699.40 = 2,640,198,889,799.70/x
  3. Step 3: Cross multiply
    2,640,198,889,799.70x = 3,960,298,334,699.40 × 2,640,198,889,799.70
  4. Step 4: Simplify right side
    2,640,198,889,799.70x = 10,455,975,266,548,956,069,363,712
  5. Step 5: Solve for x
    x = 10,455,975,266,548,956,069,363,712/2,640,198,889,799.70
  6. Step 6: Final answer
    x = 3,960,298,334,699.40

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