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Finding the Fourth Proportional to 15,132,978,046.08, 22,699,467,069.11 and 15,132,978,046.08

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Solution

The fourth proportional to 15,132,978,046.08, 22,699,467,069.11 and 15,132,978,046.08 is: 22,699,467,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,132,978,046.08 : 22,699,467,069.11 = 15,132,978,046.08 : x
  2. Step 2: Convert to fraction form
    15,132,978,046.08/22,699,467,069.11 = 15,132,978,046.08/x
  3. Step 3: Cross multiply
    15,132,978,046.08x = 22,699,467,069.11 × 15,132,978,046.08
  4. Step 4: Simplify right side
    15,132,978,046.08x = 343,510,536,814,557,528,064
  5. Step 5: Solve for x
    x = 343,510,536,814,557,528,064/15,132,978,046.08
  6. Step 6: Final answer
    x = 22,699,467,069.11

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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.