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Finding the Fourth Proportional to 366,912,523.60, 550,368,785.40 and 338,852,438.80

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Solution

The fourth proportional to 366,912,523.60, 550,368,785.40 and 338,852,438.80 is: 508,278,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,912,523.60 : 550,368,785.40 = 338,852,438.80 : x
  2. Step 2: Convert to fraction form
    366,912,523.60/550,368,785.40 = 338,852,438.80/x
  3. Step 3: Cross multiply
    366,912,523.60x = 550,368,785.40 × 338,852,438.80
  4. Step 4: Simplify right side
    366,912,523.60x = 186,493,805,172,183,840
  5. Step 5: Solve for x
    x = 186,493,805,172,183,840/366,912,523.60
  6. Step 6: Final answer
    x = 508,278,658.20

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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.