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Finding the Fourth Proportional to 422,821,805.60, 634,232,708.40 and 422,821,805.60

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Solution

The fourth proportional to 422,821,805.60, 634,232,708.40 and 422,821,805.60 is: 634,232,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,821,805.60 : 634,232,708.40 = 422,821,805.60 : x
  2. Step 2: Convert to fraction form
    422,821,805.60/634,232,708.40 = 422,821,805.60/x
  3. Step 3: Cross multiply
    422,821,805.60x = 634,232,708.40 × 422,821,805.60
  4. Step 4: Simplify right side
    422,821,805.60x = 268,167,418,936,266,304
  5. Step 5: Solve for x
    x = 268,167,418,936,266,304/422,821,805.60
  6. Step 6: Final answer
    x = 634,232,708.40

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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.