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Finding the Fourth Proportional to 576,487,231.20, 864,994,352.76 and 313,778,230.20

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Solution

The fourth proportional to 576,487,231.20, 864,994,352.76 and 313,778,230.20 is: 470,810,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,487,231.20 : 864,994,352.76 = 313,778,230.20 : x
  2. Step 2: Convert to fraction form
    576,487,231.20/864,994,352.76 = 313,778,230.20/x
  3. Step 3: Cross multiply
    576,487,231.20x = 864,994,352.76 × 313,778,230.20
  4. Step 4: Simplify right side
    576,487,231.20x = 271,416,397,142,027,264
  5. Step 5: Solve for x
    x = 271,416,397,142,027,264/576,487,231.20
  6. Step 6: Final answer
    x = 470,810,769.87

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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.