Finding the Fourth Proportional to 24,155,802,879,508, 36,233,839,774,716 and 8,057,275,105,458
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Solution
The fourth proportional to 24,155,802,879,508, 36,233,839,774,716 and 8,057,275,105,458 is: 12,085,957,839,954
Step by Step Solution
- Step 1: Write the proportion equation
24,155,802,879,508 : 36,233,839,774,716 = 8,057,275,105,458 : x - Step 2: Convert to fraction form
24,155,802,879,508/36,233,839,774,716 = 8,057,275,105,458/x - Step 3: Cross multiply
24,155,802,879,508x = 36,233,839,774,716 × 8,057,275,105,458 - Step 4: Simplify right side
24,155,802,879,508x = 291,946,015,191,973,126,087,901,184 - Step 5: Solve for x
x = 291,946,015,191,973,126,087,901,184/24,155,802,879,508 - Step 6: Final answer
x = 12,085,957,839,954
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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.