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Finding the Fourth Proportional to 57,384,965.20, 80,509,012.40 and 57,384,965.20

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Solution

The fourth proportional to 57,384,965.20, 80,509,012.40 and 57,384,965.20 is: 80,509,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384,965.20 : 80,509,012.40 = 57,384,965.20 : x
  2. Step 2: Convert to fraction form
    57,384,965.20/80,509,012.40 = 57,384,965.20/x
  3. Step 3: Cross multiply
    57,384,965.20x = 80,509,012.40 × 57,384,965.20
  4. Step 4: Simplify right side
    57,384,965.20x = 4,620,006,874,860,369
  5. Step 5: Solve for x
    x = 4,620,006,874,860,369/57,384,965.20
  6. Step 6: Final answer
    x = 80,509,012.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.