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Finding the Fourth Proportional to 8,197,830.40, 12,274,627.20 and 8,197,830.40

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Solution

The fourth proportional to 8,197,830.40, 12,274,627.20 and 8,197,830.40 is: 12,274,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197,830.40 : 12,274,627.20 = 8,197,830.40 : x
  2. Step 2: Convert to fraction form
    8,197,830.40/12,274,627.20 = 8,197,830.40/x
  3. Step 3: Cross multiply
    8,197,830.40x = 12,274,627.20 × 8,197,830.40
  4. Step 4: Simplify right side
    8,197,830.40x = 100,625,312,008,826.88
  5. Step 5: Solve for x
    x = 100,625,312,008,826.88/8,197,830.40
  6. Step 6: Final answer
    x = 12,274,627.20

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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.