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Finding the Fourth Proportional to 304,180,338.64, 419,768,978.90 and 164,951,063.50

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Solution

The fourth proportional to 304,180,338.64, 419,768,978.90 and 164,951,063.50 is: 227,632,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,180,338.64 : 419,768,978.90 = 164,951,063.50 : x
  2. Step 2: Convert to fraction form
    304,180,338.64/419,768,978.90 = 164,951,063.50/x
  3. Step 3: Cross multiply
    304,180,338.64x = 419,768,978.90 × 164,951,063.50
  4. Step 4: Simplify right side
    304,180,338.64x = 69,241,339,493,864,056
  5. Step 5: Solve for x
    x = 69,241,339,493,864,056/304,180,338.64
  6. Step 6: Final answer
    x = 227,632,528.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.