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Finding the Fourth Proportional to 2,297,715,660,148.70, 3,446,573,490,224 and 2,297,715,660,148.70

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Solution

The fourth proportional to 2,297,715,660,148.70, 3,446,573,490,224 and 2,297,715,660,148.70 is: 3,446,573,490,224

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297,715,660,148.70 : 3,446,573,490,224 = 2,297,715,660,148.70 : x
  2. Step 2: Convert to fraction form
    2,297,715,660,148.70/3,446,573,490,224 = 2,297,715,660,148.70/x
  3. Step 3: Cross multiply
    2,297,715,660,148.70x = 3,446,573,490,224 × 2,297,715,660,148.70
  4. Step 4: Simplify right side
    2,297,715,660,148.70x = 7,919,245,882,341,048,354,603,008
  5. Step 5: Solve for x
    x = 7,919,245,882,341,048,354,603,008/2,297,715,660,148.70
  6. Step 6: Final answer
    x = 3,446,573,490,224

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.