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Finding the Fourth Proportional to 6,563,645,568,686.70, 9,845,468,353,030.10 and 6,563,645,568,686.70

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Solution

The fourth proportional to 6,563,645,568,686.70, 9,845,468,353,030.10 and 6,563,645,568,686.70 is: 9,845,468,353,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563,645,568,686.70 : 9,845,468,353,030.10 = 6,563,645,568,686.70 : x
  2. Step 2: Convert to fraction form
    6,563,645,568,686.70/9,845,468,353,030.10 = 6,563,645,568,686.70/x
  3. Step 3: Cross multiply
    6,563,645,568,686.70x = 9,845,468,353,030.10 × 6,563,645,568,686.70
  4. Step 4: Simplify right side
    6,563,645,568,686.70x = 64,622,164,727,011,156,906,999,808
  5. Step 5: Solve for x
    x = 64,622,164,727,011,156,906,999,808/6,563,645,568,686.70
  6. Step 6: Final answer
    x = 9,845,468,353,030.10

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