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Finding the Fourth Proportional to 298,944,014.40, 448,416,021.60 and 222,416,510.40

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Solution

The fourth proportional to 298,944,014.40, 448,416,021.60 and 222,416,510.40 is: 333,624,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,944,014.40 : 448,416,021.60 = 222,416,510.40 : x
  2. Step 2: Convert to fraction form
    298,944,014.40/448,416,021.60 = 222,416,510.40/x
  3. Step 3: Cross multiply
    298,944,014.40x = 448,416,021.60 × 222,416,510.40
  4. Step 4: Simplify right side
    298,944,014.40x = 99,735,126,731,723,040
  5. Step 5: Solve for x
    x = 99,735,126,731,723,040/298,944,014.40
  6. Step 6: Final answer
    x = 333,624,765.60

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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.