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Finding the Fourth Proportional to 267,863,947.20, 401,796,212.40 and 106,305,883.20

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Solution

The fourth proportional to 267,863,947.20, 401,796,212.40 and 106,305,883.20 is: 159,458,940.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,863,947.20 : 401,796,212.40 = 106,305,883.20 : x
  2. Step 2: Convert to fraction form
    267,863,947.20/401,796,212.40 = 106,305,883.20/x
  3. Step 3: Cross multiply
    267,863,947.20x = 401,796,212.40 × 106,305,883.20
  4. Step 4: Simplify right side
    267,863,947.20x = 42,713,301,225,596,792
  5. Step 5: Solve for x
    x = 42,713,301,225,596,792/267,863,947.20
  6. Step 6: Final answer
    x = 159,458,940.53

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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.