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Finding the Fourth Proportional to 655,100,405.80, 982,650,608.70 and 310,726,637.80

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Solution

The fourth proportional to 655,100,405.80, 982,650,608.70 and 310,726,637.80 is: 466,089,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,100,405.80 : 982,650,608.70 = 310,726,637.80 : x
  2. Step 2: Convert to fraction form
    655,100,405.80/982,650,608.70 = 310,726,637.80/x
  3. Step 3: Cross multiply
    655,100,405.80x = 982,650,608.70 × 310,726,637.80
  4. Step 4: Simplify right side
    655,100,405.80x = 305,335,719,773,474,432
  5. Step 5: Solve for x
    x = 305,335,719,773,474,432/655,100,405.80
  6. Step 6: Final answer
    x = 466,089,956.70

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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.