Finding the Fourth Proportional to 9,126,452,873,342, 12,594,807,007,792 and 5,015,924,928,790
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Solution
The fourth proportional to 9,126,452,873,342, 12,594,807,007,792 and 5,015,924,928,790 is: 6,922,142,405,206.89
Step by Step Solution
- Step 1: Write the proportion equation
9,126,452,873,342 : 12,594,807,007,792 = 5,015,924,928,790 : x - Step 2: Convert to fraction form
9,126,452,873,342/12,594,807,007,792 = 5,015,924,928,790/x - Step 3: Cross multiply
9,126,452,873,342x = 12,594,807,007,792 × 5,015,924,928,790 - Step 4: Simplify right side
9,126,452,873,342x = 63,174,606,443,682,876,950,052,864 - Step 5: Solve for x
x = 63,174,606,443,682,876,950,052,864/9,126,452,873,342 - Step 6: Final answer
x = 6,922,142,405,206.89
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.