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Finding the Fourth Proportional to 30,760,092.20, 46,140,138.30 and 30,760,092.20

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Solution

The fourth proportional to 30,760,092.20, 46,140,138.30 and 30,760,092.20 is: 46,140,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760,092.20 : 46,140,138.30 = 30,760,092.20 : x
  2. Step 2: Convert to fraction form
    30,760,092.20/46,140,138.30 = 30,760,092.20/x
  3. Step 3: Cross multiply
    30,760,092.20x = 46,140,138.30 × 30,760,092.20
  4. Step 4: Simplify right side
    30,760,092.20x = 1,419,274,908,228,751.25
  5. Step 5: Solve for x
    x = 1,419,274,908,228,751.25/30,760,092.20
  6. Step 6: Final answer
    x = 46,140,138.30

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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.