Finding the Fourth Proportional to 11,115,215,990,319, 15,339,370,114,064 and 6,177,045,870,108
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Solution
The fourth proportional to 11,115,215,990,319, 15,339,370,114,064 and 6,177,045,870,108 is: 8,524,530,058,224.97
Step by Step Solution
- Step 1: Write the proportion equation
11,115,215,990,319 : 15,339,370,114,064 = 6,177,045,870,108 : x - Step 2: Convert to fraction form
11,115,215,990,319/15,339,370,114,064 = 6,177,045,870,108/x - Step 3: Cross multiply
11,115,215,990,319x = 15,339,370,114,064 × 6,177,045,870,108 - Step 4: Simplify right side
11,115,215,990,319x = 94,751,992,813,137,116,239,233,024 - Step 5: Solve for x
x = 94,751,992,813,137,116,239,233,024/11,115,215,990,319 - Step 6: Final answer
x = 8,524,530,058,224.97
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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.