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Finding the Fourth Proportional to 655,099,762.80, 982,649,644.20 and 310,725,994.80

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Solution

The fourth proportional to 655,099,762.80, 982,649,644.20 and 310,725,994.80 is: 466,088,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,099,762.80 : 982,649,644.20 = 310,725,994.80 : x
  2. Step 2: Convert to fraction form
    655,099,762.80/982,649,644.20 = 310,725,994.80/x
  3. Step 3: Cross multiply
    655,099,762.80x = 982,649,644.20 × 310,725,994.80
  4. Step 4: Simplify right side
    655,099,762.80x = 305,334,788,233,911,104
  5. Step 5: Solve for x
    x = 305,334,788,233,911,104/655,099,762.80
  6. Step 6: Final answer
    x = 466,088,992.20

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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.