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Finding the Fourth Proportional to 1,056,899,016,072.30, 1,585,348,524,108.40 and 1,056,899,016,072.30

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Solution

The fourth proportional to 1,056,899,016,072.30, 1,585,348,524,108.40 and 1,056,899,016,072.30 is: 1,585,348,524,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,899,016,072.30 : 1,585,348,524,108.40 = 1,056,899,016,072.30 : x
  2. Step 2: Convert to fraction form
    1,056,899,016,072.30/1,585,348,524,108.40 = 1,056,899,016,072.30/x
  3. Step 3: Cross multiply
    1,056,899,016,072.30x = 1,585,348,524,108.40 × 1,056,899,016,072.30
  4. Step 4: Simplify right side
    1,056,899,016,072.30x = 1,675,553,295,261,840,925,786,112
  5. Step 5: Solve for x
    x = 1,675,553,295,261,840,925,786,112/1,056,899,016,072.30
  6. Step 6: Final answer
    x = 1,585,348,524,108.40

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