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Finding the Fourth Proportional to 853,053,338.60, 1,195,887,105.40 and 853,053,338.60

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Solution

The fourth proportional to 853,053,338.60, 1,195,887,105.40 and 853,053,338.60 is: 1,195,887,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,053,338.60 : 1,195,887,105.40 = 853,053,338.60 : x
  2. Step 2: Convert to fraction form
    853,053,338.60/1,195,887,105.40 = 853,053,338.60/x
  3. Step 3: Cross multiply
    853,053,338.60x = 1,195,887,105.40 × 853,053,338.60
  4. Step 4: Simplify right side
    853,053,338.60x = 1,020,155,487,850,160,256
  5. Step 5: Solve for x
    x = 1,020,155,487,850,160,256/853,053,338.60
  6. Step 6: Final answer
    x = 1,195,887,105.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.