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Finding the Fourth Proportional to 655,099,412.30, 982,649,118.45 and 310,725,644.30

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Solution

The fourth proportional to 655,099,412.30, 982,649,118.45 and 310,725,644.30 is: 466,088,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,099,412.30 : 982,649,118.45 = 310,725,644.30 : x
  2. Step 2: Convert to fraction form
    655,099,412.30/982,649,118.45 = 310,725,644.30/x
  3. Step 3: Cross multiply
    655,099,412.30x = 982,649,118.45 × 310,725,644.30
  4. Step 4: Simplify right side
    655,099,412.30x = 305,334,280,451,203,264
  5. Step 5: Solve for x
    x = 305,334,280,451,203,264/655,099,412.30
  6. Step 6: Final answer
    x = 466,088,466.45

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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.