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Finding the Fourth Proportional to 496,433,892.20, 744,650,838.30 and 419,906,388.20

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Solution

The fourth proportional to 496,433,892.20, 744,650,838.30 and 419,906,388.20 is: 629,859,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,433,892.20 : 744,650,838.30 = 419,906,388.20 : x
  2. Step 2: Convert to fraction form
    496,433,892.20/744,650,838.30 = 419,906,388.20/x
  3. Step 3: Cross multiply
    496,433,892.20x = 744,650,838.30 × 419,906,388.20
  4. Step 4: Simplify right side
    496,433,892.20x = 312,683,643,980,655,168
  5. Step 5: Solve for x
    x = 312,683,643,980,655,168/496,433,892.20
  6. Step 6: Final answer
    x = 629,859,582.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.