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Finding the Fourth Proportional to 219,969,889.60, 329,954,834.40 and 197,011,638.40

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Solution

The fourth proportional to 219,969,889.60, 329,954,834.40 and 197,011,638.40 is: 295,517,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,969,889.60 : 329,954,834.40 = 197,011,638.40 : x
  2. Step 2: Convert to fraction form
    219,969,889.60/329,954,834.40 = 197,011,638.40/x
  3. Step 3: Cross multiply
    219,969,889.60x = 329,954,834.40 × 197,011,638.40
  4. Step 4: Simplify right side
    219,969,889.60x = 65,004,942,523,144,680
  5. Step 5: Solve for x
    x = 65,004,942,523,144,680/219,969,889.60
  6. Step 6: Final answer
    x = 295,517,457.60

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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.