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Finding the Fourth Proportional to 5,855,476,715,999.70, 8,783,215,073,999.70 and 5,855,476,715,999.70

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Solution

The fourth proportional to 5,855,476,715,999.70, 8,783,215,073,999.70 and 5,855,476,715,999.70 is: 8,783,215,073,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855,476,715,999.70 : 8,783,215,073,999.70 = 5,855,476,715,999.70 : x
  2. Step 2: Convert to fraction form
    5,855,476,715,999.70/8,783,215,073,999.70 = 5,855,476,715,999.70/x
  3. Step 3: Cross multiply
    5,855,476,715,999.70x = 8,783,215,073,999.70 × 5,855,476,715,999.70
  4. Step 4: Simplify right side
    5,855,476,715,999.70x = 51,429,911,357,422,824,048,295,936
  5. Step 5: Solve for x
    x = 51,429,911,357,422,824,048,295,936/5,855,476,715,999.70
  6. Step 6: Final answer
    x = 8,783,215,073,999.70

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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.