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Finding the Fourth Proportional to 409,080,642.82, 613,623,258.18 and 136,450,661.38

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Solution

The fourth proportional to 409,080,642.82, 613,623,258.18 and 136,450,661.38 is: 204,676,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,080,642.82 : 613,623,258.18 = 136,450,661.38 : x
  2. Step 2: Convert to fraction form
    409,080,642.82/613,623,258.18 = 136,450,661.38/x
  3. Step 3: Cross multiply
    409,080,642.82x = 613,623,258.18 × 136,450,661.38
  4. Step 4: Simplify right side
    409,080,642.82x = 83,729,299,416,811,488
  5. Step 5: Solve for x
    x = 83,729,299,416,811,488/409,080,642.82
  6. Step 6: Final answer
    x = 204,676,757.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.