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Finding the Fourth Proportional to 398,604,873.20, 597,907,309.80 and 295,292,742.80

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Solution

The fourth proportional to 398,604,873.20, 597,907,309.80 and 295,292,742.80 is: 442,939,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,604,873.20 : 597,907,309.80 = 295,292,742.80 : x
  2. Step 2: Convert to fraction form
    398,604,873.20/597,907,309.80 = 295,292,742.80/x
  3. Step 3: Cross multiply
    398,604,873.20x = 597,907,309.80 × 295,292,742.80
  4. Step 4: Simplify right side
    398,604,873.20x = 176,557,689,451,011,328
  5. Step 5: Solve for x
    x = 176,557,689,451,011,328/398,604,873.20
  6. Step 6: Final answer
    x = 442,939,114.20

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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.