Finding the Fourth Proportional to 199,464,811,965.66, 299,135,337,631.79 and 71,962,928,696.31
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Solution
The fourth proportional to 199,464,811,965.66, 299,135,337,631.79 and 71,962,928,696.31 is: 107,922,067,859.51
Step by Step Solution
- Step 1: Write the proportion equation
199,464,811,965.66 : 299,135,337,631.79 = 71,962,928,696.31 : x - Step 2: Convert to fraction form
199,464,811,965.66/299,135,337,631.79 = 71,962,928,696.31/x - Step 3: Cross multiply
199,464,811,965.66x = 299,135,337,631.79 × 71,962,928,696.31 - Step 4: Simplify right side
199,464,811,965.66x = 21,526,654,972,543,117,557,760 - Step 5: Solve for x
x = 21,526,654,972,543,117,557,760/199,464,811,965.66 - Step 6: Final answer
x = 107,922,067,859.51
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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.