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Finding the Fourth Proportional to 213,624,009.30, 320,436,013.95 and 213,624,009.30

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Solution

The fourth proportional to 213,624,009.30, 320,436,013.95 and 213,624,009.30 is: 320,436,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,624,009.30 : 320,436,013.95 = 213,624,009.30 : x
  2. Step 2: Convert to fraction form
    213,624,009.30/320,436,013.95 = 213,624,009.30/x
  3. Step 3: Cross multiply
    213,624,009.30x = 320,436,013.95 × 213,624,009.30
  4. Step 4: Simplify right side
    213,624,009.30x = 68,452,826,024,109,728
  5. Step 5: Solve for x
    x = 68,452,826,024,109,728/213,624,009.30
  6. Step 6: Final answer
    x = 320,436,013.95

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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.