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Finding the Fourth Proportional to 497,666,405.80, 746,499,608.70 and 394,873,906.60

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Solution

The fourth proportional to 497,666,405.80, 746,499,608.70 and 394,873,906.60 is: 592,310,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666,405.80 : 746,499,608.70 = 394,873,906.60 : x
  2. Step 2: Convert to fraction form
    497,666,405.80/746,499,608.70 = 394,873,906.60/x
  3. Step 3: Cross multiply
    497,666,405.80x = 746,499,608.70 × 394,873,906.60
  4. Step 4: Simplify right side
    497,666,405.80x = 294,773,216,762,740,416
  5. Step 5: Solve for x
    x = 294,773,216,762,740,416/497,666,405.80
  6. Step 6: Final answer
    x = 592,310,859.90

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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.