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Finding the Fourth Proportional to 57,384,966.70, 80,509,014.50 and 57,384,966.70

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Solution

The fourth proportional to 57,384,966.70, 80,509,014.50 and 57,384,966.70 is: 80,509,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384,966.70 : 80,509,014.50 = 57,384,966.70 : x
  2. Step 2: Convert to fraction form
    57,384,966.70/80,509,014.50 = 57,384,966.70/x
  3. Step 3: Cross multiply
    57,384,966.70x = 80,509,014.50 × 57,384,966.70
  4. Step 4: Simplify right side
    57,384,966.70x = 4,620,007,116,132,317
  5. Step 5: Solve for x
    x = 4,620,007,116,132,317/57,384,966.70
  6. Step 6: Final answer
    x = 80,509,014.50

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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.