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Finding the Fourth Proportional to 414,885,416.40, 622,359,617.40 and 123,729,814.80

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Solution

The fourth proportional to 414,885,416.40, 622,359,617.40 and 123,729,814.80 is: 185,604,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,885,416.40 : 622,359,617.40 = 123,729,814.80 : x
  2. Step 2: Convert to fraction form
    414,885,416.40/622,359,617.40 = 123,729,814.80/x
  3. Step 3: Cross multiply
    414,885,416.40x = 622,359,617.40 × 123,729,814.80
  4. Step 4: Simplify right side
    414,885,416.40x = 77,004,440,199,900,848
  5. Step 5: Solve for x
    x = 77,004,440,199,900,848/414,885,416.40
  6. Step 6: Final answer
    x = 185,604,114.19

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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.