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Finding the Fourth Proportional to 413,798,574.92, 620,745,890.52 and 137,474,449.16

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Solution

The fourth proportional to 413,798,574.92, 620,745,890.52 and 137,474,449.16 is: 206,227,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,798,574.92 : 620,745,890.52 = 137,474,449.16 : x
  2. Step 2: Convert to fraction form
    413,798,574.92/620,745,890.52 = 137,474,449.16/x
  3. Step 3: Cross multiply
    413,798,574.92x = 620,745,890.52 × 137,474,449.16
  4. Step 4: Simplify right side
    413,798,574.92x = 85,336,699,367,570,656
  5. Step 5: Solve for x
    x = 85,336,699,367,570,656/413,798,574.92
  6. Step 6: Final answer
    x = 206,227,629.91

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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.