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Finding the Fourth Proportional to 509,336,076.20, 764,004,114.30 and 509,336,076.20

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Solution

The fourth proportional to 509,336,076.20, 764,004,114.30 and 509,336,076.20 is: 764,004,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,336,076.20 : 764,004,114.30 = 509,336,076.20 : x
  2. Step 2: Convert to fraction form
    509,336,076.20/764,004,114.30 = 509,336,076.20/x
  3. Step 3: Cross multiply
    509,336,076.20x = 764,004,114.30 × 509,336,076.20
  4. Step 4: Simplify right side
    509,336,076.20x = 389,134,857,778,218,304
  5. Step 5: Solve for x
    x = 389,134,857,778,218,304/509,336,076.20
  6. Step 6: Final answer
    x = 764,004,114.30

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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.