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Finding the Fourth Proportional to 15,715,682,783.70, 23,573,524,175.55 and 15,715,682,783.70

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Solution

The fourth proportional to 15,715,682,783.70, 23,573,524,175.55 and 15,715,682,783.70 is: 23,573,524,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715,682,783.70 : 23,573,524,175.55 = 15,715,682,783.70 : x
  2. Step 2: Convert to fraction form
    15,715,682,783.70/23,573,524,175.55 = 15,715,682,783.70/x
  3. Step 3: Cross multiply
    15,715,682,783.70x = 23,573,524,175.55 × 15,715,682,783.70
  4. Step 4: Simplify right side
    15,715,682,783.70x = 370,474,028,036,826,857,472
  5. Step 5: Solve for x
    x = 370,474,028,036,826,857,472/15,715,682,783.70
  6. Step 6: Final answer
    x = 23,573,524,175.55

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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.