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Finding the Fourth Proportional to 655,099,415.80, 982,649,123.70 and 310,725,647.80

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Solution

The fourth proportional to 655,099,415.80, 982,649,123.70 and 310,725,647.80 is: 466,088,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,099,415.80 : 982,649,123.70 = 310,725,647.80 : x
  2. Step 2: Convert to fraction form
    655,099,415.80/982,649,123.70 = 310,725,647.80/x
  3. Step 3: Cross multiply
    655,099,415.80x = 982,649,123.70 × 310,725,647.80
  4. Step 4: Simplify right side
    655,099,415.80x = 305,334,285,521,784,832
  5. Step 5: Solve for x
    x = 305,334,285,521,784,832/655,099,415.80
  6. Step 6: Final answer
    x = 466,088,471.70

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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.