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Finding the Fourth Proportional to 8,197,657.90, 12,274,368.45 and 8,197,657.90

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Solution

The fourth proportional to 8,197,657.90, 12,274,368.45 and 8,197,657.90 is: 12,274,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197,657.90 : 12,274,368.45 = 8,197,657.90 : x
  2. Step 2: Convert to fraction form
    8,197,657.90/12,274,368.45 = 8,197,657.90/x
  3. Step 3: Cross multiply
    8,197,657.90x = 12,274,368.45 × 8,197,657.90
  4. Step 4: Simplify right side
    8,197,657.90x = 100,621,073,491,653.25
  5. Step 5: Solve for x
    x = 100,621,073,491,653.25/8,197,657.90
  6. Step 6: Final answer
    x = 12,274,368.45

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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.