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Finding the Fourth Proportional to 293,126,404.80, 409,839,489.60 and 293,126,404.80

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Solution

The fourth proportional to 293,126,404.80, 409,839,489.60 and 293,126,404.80 is: 409,839,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,126,404.80 : 409,839,489.60 = 293,126,404.80 : x
  2. Step 2: Convert to fraction form
    293,126,404.80/409,839,489.60 = 293,126,404.80/x
  3. Step 3: Cross multiply
    293,126,404.80x = 409,839,489.60 × 293,126,404.80
  4. Step 4: Simplify right side
    293,126,404.80x = 120,134,776,131,515,008
  5. Step 5: Solve for x
    x = 120,134,776,131,515,008/293,126,404.80
  6. Step 6: Final answer
    x = 409,839,489.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.