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Finding the Fourth Proportional to 129,410,096,801.80, 193,824,907,557.90 and 129,410,096,801.80

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Solution

The fourth proportional to 129,410,096,801.80, 193,824,907,557.90 and 129,410,096,801.80 is: 193,824,907,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,410,096,801.80 : 193,824,907,557.90 = 129,410,096,801.80 : x
  2. Step 2: Convert to fraction form
    129,410,096,801.80/193,824,907,557.90 = 129,410,096,801.80/x
  3. Step 3: Cross multiply
    129,410,096,801.80x = 193,824,907,557.90 × 129,410,096,801.80
  4. Step 4: Simplify right side
    129,410,096,801.80x = 25,082,900,049,667,773,431,808
  5. Step 5: Solve for x
    x = 25,082,900,049,667,773,431,808/129,410,096,801.80
  6. Step 6: Final answer
    x = 193,824,907,557.90

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Double scale
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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.