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Finding the Fourth Proportional to 509,486,815.20, 764,230,222.80 and 509,486,815.20

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Solution

The fourth proportional to 509,486,815.20, 764,230,222.80 and 509,486,815.20 is: 764,230,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,486,815.20 : 764,230,222.80 = 509,486,815.20 : x
  2. Step 2: Convert to fraction form
    509,486,815.20/764,230,222.80 = 509,486,815.20/x
  3. Step 3: Cross multiply
    509,486,815.20x = 764,230,222.80 × 509,486,815.20
  4. Step 4: Simplify right side
    509,486,815.20x = 389,365,222,293,958,400
  5. Step 5: Solve for x
    x = 389,365,222,293,958,400/509,486,815.20
  6. Step 6: Final answer
    x = 764,230,222.80

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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.