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Finding the Fourth Proportional to 509,970,907.40, 764,956,361.10 and 164,959,410.20

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Solution

The fourth proportional to 509,970,907.40, 764,956,361.10 and 164,959,410.20 is: 247,439,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,970,907.40 : 764,956,361.10 = 164,959,410.20 : x
  2. Step 2: Convert to fraction form
    509,970,907.40/764,956,361.10 = 164,959,410.20/x
  3. Step 3: Cross multiply
    509,970,907.40x = 764,956,361.10 × 164,959,410.20
  4. Step 4: Simplify right side
    509,970,907.40x = 126,186,750,155,794,224
  5. Step 5: Solve for x
    x = 126,186,750,155,794,224/509,970,907.40
  6. Step 6: Final answer
    x = 247,439,115.30

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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.