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Finding the Fourth Proportional to 297,131,217.40, 445,696,826.10 and 297,131,217.40

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Solution

The fourth proportional to 297,131,217.40, 445,696,826.10 and 297,131,217.40 is: 445,696,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,131,217.40 : 445,696,826.10 = 297,131,217.40 : x
  2. Step 2: Convert to fraction form
    297,131,217.40/445,696,826.10 = 297,131,217.40/x
  3. Step 3: Cross multiply
    297,131,217.40x = 445,696,826.10 × 297,131,217.40
  4. Step 4: Simplify right side
    297,131,217.40x = 132,430,440,530,409,088
  5. Step 5: Solve for x
    x = 132,430,440,530,409,088/297,131,217.40
  6. Step 6: Final answer
    x = 445,696,826.10

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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.