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Finding the Fourth Proportional to 278,868,468.80, 418,302,703.20 and 248,257,467.20

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Solution

The fourth proportional to 278,868,468.80, 418,302,703.20 and 248,257,467.20 is: 372,386,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,868,468.80 : 418,302,703.20 = 248,257,467.20 : x
  2. Step 2: Convert to fraction form
    278,868,468.80/418,302,703.20 = 248,257,467.20/x
  3. Step 3: Cross multiply
    278,868,468.80x = 418,302,703.20 × 248,257,467.20
  4. Step 4: Simplify right side
    278,868,468.80x = 103,846,769,619,345,328
  5. Step 5: Solve for x
    x = 103,846,769,619,345,328/278,868,468.80
  6. Step 6: Final answer
    x = 372,386,200.80

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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.