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Finding the Fourth Proportional to 823,741,321.90, 1,235,593,090.05 and 414,687,625.90

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Solution

The fourth proportional to 823,741,321.90, 1,235,593,090.05 and 414,687,625.90 is: 622,021,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,741,321.90 : 1,235,593,090.05 = 414,687,625.90 : x
  2. Step 2: Convert to fraction form
    823,741,321.90/1,235,593,090.05 = 414,687,625.90/x
  3. Step 3: Cross multiply
    823,741,321.90x = 1,235,593,090.05 × 414,687,625.90
  4. Step 4: Simplify right side
    823,741,321.90x = 512,385,165,091,279,360
  5. Step 5: Solve for x
    x = 512,385,165,091,279,360/823,741,321.90
  6. Step 6: Final answer
    x = 622,021,927.84

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