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Finding the Fourth Proportional to 288,966,082.40, 434,156,912.40 and 217,302,466.40

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Solution

The fourth proportional to 288,966,082.40, 434,156,912.40 and 217,302,466.40 is: 326,485,956.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,966,082.40 : 434,156,912.40 = 217,302,466.40 : x
  2. Step 2: Convert to fraction form
    288,966,082.40/434,156,912.40 = 217,302,466.40/x
  3. Step 3: Cross multiply
    288,966,082.40x = 434,156,912.40 × 217,302,466.40
  4. Step 4: Simplify right side
    288,966,082.40x = 94,343,367,869,128,736
  5. Step 5: Solve for x
    x = 94,343,367,869,128,736/288,966,082.40
  6. Step 6: Final answer
    x = 326,485,956.71

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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.