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Finding the Fourth Proportional to 1,668,940,415,999.40, 2,503,410,623,999.10 and 1,668,940,415,999.40

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Solution

The fourth proportional to 1,668,940,415,999.40, 2,503,410,623,999.10 and 1,668,940,415,999.40 is: 2,503,410,623,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,940,415,999.40 : 2,503,410,623,999.10 = 1,668,940,415,999.40 : x
  2. Step 2: Convert to fraction form
    1,668,940,415,999.40/2,503,410,623,999.10 = 1,668,940,415,999.40/x
  3. Step 3: Cross multiply
    1,668,940,415,999.40x = 2,503,410,623,999.10 × 1,668,940,415,999.40
  4. Step 4: Simplify right side
    1,668,940,415,999.40x = 4,178,043,168,234,375,571,570,688
  5. Step 5: Solve for x
    x = 4,178,043,168,234,375,571,570,688/1,668,940,415,999.40
  6. Step 6: Final answer
    x = 2,503,410,623,999.10

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