Finding the Fourth Proportional to 199,464,811,964.91, 299,135,337,630.66 and 71,962,928,695.56
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Solution
The fourth proportional to 199,464,811,964.91, 299,135,337,630.66 and 71,962,928,695.56 is: 107,922,067,858.39
Step by Step Solution
- Step 1: Write the proportion equation
199,464,811,964.91 : 299,135,337,630.66 = 71,962,928,695.56 : x - Step 2: Convert to fraction form
199,464,811,964.91/299,135,337,630.66 = 71,962,928,695.56/x - Step 3: Cross multiply
199,464,811,964.91x = 299,135,337,630.66 × 71,962,928,695.56 - Step 4: Simplify right side
199,464,811,964.91x = 21,526,654,972,238,346,846,208 - Step 5: Solve for x
x = 21,526,654,972,238,346,846,208/199,464,811,964.91 - Step 6: Final answer
x = 107,922,067,858.39
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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.