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Finding the Fourth Proportional to 16,143,670,211.65, 24,215,505,317.48 and 16,143,670,211.65

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Solution

The fourth proportional to 16,143,670,211.65, 24,215,505,317.48 and 16,143,670,211.65 is: 24,215,505,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143,670,211.65 : 24,215,505,317.48 = 16,143,670,211.65 : x
  2. Step 2: Convert to fraction form
    16,143,670,211.65/24,215,505,317.48 = 16,143,670,211.65/x
  3. Step 3: Cross multiply
    16,143,670,211.65x = 24,215,505,317.48 × 16,143,670,211.65
  4. Step 4: Simplify right side
    16,143,670,211.65x = 390,927,131,853,854,015,488
  5. Step 5: Solve for x
    x = 390,927,131,853,854,015,488/16,143,670,211.65
  6. Step 6: Final answer
    x = 24,215,505,317.48

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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.