Finding the Fourth Proportional to 80,770,093,752.08, 121,157,608,838.24 and 27,710,382,596.04
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Solution
The fourth proportional to 80,770,093,752.08, 121,157,608,838.24 and 27,710,382,596.04 is: 41,566,420,680.83
Step by Step Solution
- Step 1: Write the proportion equation
80,770,093,752.08 : 121,157,608,838.24 = 27,710,382,596.04 : x - Step 2: Convert to fraction form
80,770,093,752.08/121,157,608,838.24 = 27,710,382,596.04/x - Step 3: Cross multiply
80,770,093,752.08x = 121,157,608,838.24 × 27,710,382,596.04 - Step 4: Simplify right side
80,770,093,752.08x = 3,357,323,695,328,988,233,728 - Step 5: Solve for x
x = 3,357,323,695,328,988,233,728/80,770,093,752.08 - Step 6: Final answer
x = 41,566,420,680.83
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1.5x scale
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.