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Finding the Fourth Proportional to 13,436,953,947.60, 20,119,151,215.80 and 13,436,953,947.60

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Solution

The fourth proportional to 13,436,953,947.60, 20,119,151,215.80 and 13,436,953,947.60 is: 20,119,151,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436,953,947.60 : 20,119,151,215.80 = 13,436,953,947.60 : x
  2. Step 2: Convert to fraction form
    13,436,953,947.60/20,119,151,215.80 = 13,436,953,947.60/x
  3. Step 3: Cross multiply
    13,436,953,947.60x = 20,119,151,215.80 × 13,436,953,947.60
  4. Step 4: Simplify right side
    13,436,953,947.60x = 270,340,108,351,505,137,664
  5. Step 5: Solve for x
    x = 270,340,108,351,505,137,664/13,436,953,947.60
  6. Step 6: Final answer
    x = 20,119,151,215.80

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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.