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Finding the Fourth Proportional to 415,261,406.20, 622,892,109.30 and 415,261,406.20

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Solution

The fourth proportional to 415,261,406.20, 622,892,109.30 and 415,261,406.20 is: 622,892,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,261,406.20 : 622,892,109.30 = 415,261,406.20 : x
  2. Step 2: Convert to fraction form
    415,261,406.20/622,892,109.30 = 415,261,406.20/x
  3. Step 3: Cross multiply
    415,261,406.20x = 622,892,109.30 × 415,261,406.20
  4. Step 4: Simplify right side
    415,261,406.20x = 258,663,053,218,802,080
  5. Step 5: Solve for x
    x = 258,663,053,218,802,080/415,261,406.20
  6. Step 6: Final answer
    x = 622,892,109.30

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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.