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Finding the Fourth Proportional to 13,408,096,505.60, 20,112,144,758.40 and 13,408,096,505.60

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Solution

The fourth proportional to 13,408,096,505.60, 20,112,144,758.40 and 13,408,096,505.60 is: 20,112,144,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408,096,505.60 : 20,112,144,758.40 = 13,408,096,505.60 : x
  2. Step 2: Convert to fraction form
    13,408,096,505.60/20,112,144,758.40 = 13,408,096,505.60/x
  3. Step 3: Cross multiply
    13,408,096,505.60x = 20,112,144,758.40 × 13,408,096,505.60
  4. Step 4: Simplify right side
    13,408,096,505.60x = 269,665,577,855,224,414,208
  5. Step 5: Solve for x
    x = 269,665,577,855,224,414,208/13,408,096,505.60
  6. Step 6: Final answer
    x = 20,112,144,758.40

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1.5x scale

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.