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Finding the Fourth Proportional to 823,741,323.90, 1,235,593,093.05 and 414,687,627.90

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Solution

The fourth proportional to 823,741,323.90, 1,235,593,093.05 and 414,687,627.90 is: 622,021,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,741,323.90 : 1,235,593,093.05 = 414,687,627.90 : x
  2. Step 2: Convert to fraction form
    823,741,323.90/1,235,593,093.05 = 414,687,627.90/x
  3. Step 3: Cross multiply
    823,741,323.90x = 1,235,593,093.05 × 414,687,627.90
  4. Step 4: Simplify right side
    823,741,323.90x = 512,385,168,806,528,448
  5. Step 5: Solve for x
    x = 512,385,168,806,528,448/823,741,323.90
  6. Step 6: Final answer
    x = 622,021,930.84

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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.