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Finding the Fourth Proportional to 422,728,383.60, 633,084,805.80 and 422,728,383.60

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Solution

The fourth proportional to 422,728,383.60, 633,084,805.80 and 422,728,383.60 is: 633,084,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,728,383.60 : 633,084,805.80 = 422,728,383.60 : x
  2. Step 2: Convert to fraction form
    422,728,383.60/633,084,805.80 = 422,728,383.60/x
  3. Step 3: Cross multiply
    422,728,383.60x = 633,084,805.80 × 422,728,383.60
  4. Step 4: Simplify right side
    422,728,383.60x = 267,622,916,637,553,888
  5. Step 5: Solve for x
    x = 267,622,916,637,553,888/422,728,383.60
  6. Step 6: Final answer
    x = 633,084,805.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.