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Finding the Fourth Proportional to 1,056,899,103,676, 1,585,348,655,514.10 and 1,056,899,103,676

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Solution

The fourth proportional to 1,056,899,103,676, 1,585,348,655,514.10 and 1,056,899,103,676 is: 1,585,348,655,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,899,103,676 : 1,585,348,655,514.10 = 1,056,899,103,676 : x
  2. Step 2: Convert to fraction form
    1,056,899,103,676/1,585,348,655,514.10 = 1,056,899,103,676/x
  3. Step 3: Cross multiply
    1,056,899,103,676x = 1,585,348,655,514.10 × 1,056,899,103,676
  4. Step 4: Simplify right side
    1,056,899,103,676x = 1,675,553,573,026,804,216,627,200
  5. Step 5: Solve for x
    x = 1,675,553,573,026,804,216,627,200/1,056,899,103,676
  6. Step 6: Final answer
    x = 1,585,348,655,514.10

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