Finding the Fourth Proportional to 11,115,215,990,323, 15,339,370,114,068 and 6,177,045,870,112
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Solution
The fourth proportional to 11,115,215,990,323, 15,339,370,114,068 and 6,177,045,870,112 is: 8,524,530,058,229.64
Step by Step Solution
- Step 1: Write the proportion equation
11,115,215,990,323 : 15,339,370,114,068 = 6,177,045,870,112 : x - Step 2: Convert to fraction form
11,115,215,990,323/15,339,370,114,068 = 6,177,045,870,112/x - Step 3: Cross multiply
11,115,215,990,323x = 15,339,370,114,068 × 6,177,045,870,112 - Step 4: Simplify right side
11,115,215,990,323x = 94,751,992,813,223,170,203,975,680 - Step 5: Solve for x
x = 94,751,992,813,223,170,203,975,680/11,115,215,990,323 - Step 6: Final answer
x = 8,524,530,058,229.64
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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.