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Finding the Fourth Proportional to 6,497,992.40, 9,747,910.20 and 2,009,800.40

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Solution

The fourth proportional to 6,497,992.40, 9,747,910.20 and 2,009,800.40 is: 3,014,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,992.40 : 9,747,910.20 = 2,009,800.40 : x
  2. Step 2: Convert to fraction form
    6,497,992.40/9,747,910.20 = 2,009,800.40/x
  3. Step 3: Cross multiply
    6,497,992.40x = 9,747,910.20 × 2,009,800.40
  4. Step 4: Simplify right side
    6,497,992.40x = 19,591,353,819,124.08
  5. Step 5: Solve for x
    x = 19,591,353,819,124.08/6,497,992.40
  6. Step 6: Final answer
    x = 3,014,985.65

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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.