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Finding the Fourth Proportional to 202,117,846.80, 302,609,899.80 and 196,449,142.80

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Solution

The fourth proportional to 202,117,846.80, 302,609,899.80 and 196,449,142.80 is: 294,122,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,117,846.80 : 302,609,899.80 = 196,449,142.80 : x
  2. Step 2: Convert to fraction form
    202,117,846.80/302,609,899.80 = 196,449,142.80/x
  3. Step 3: Cross multiply
    202,117,846.80x = 302,609,899.80 × 196,449,142.80
  4. Step 4: Simplify right side
    202,117,846.80x = 59,447,455,418,503,896
  5. Step 5: Solve for x
    x = 59,447,455,418,503,896/202,117,846.80
  6. Step 6: Final answer
    x = 294,122,742.55

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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.