Finding the Fourth Proportional to 25,880,062,976,160, 35,715,609,565,588 and 14,331,833,040,049
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Solution
The fourth proportional to 25,880,062,976,160, 35,715,609,565,588 and 14,331,833,040,049 is: 19,778,551,299,859.85
Step by Step Solution
- Step 1: Write the proportion equation
25,880,062,976,160 : 35,715,609,565,588 = 14,331,833,040,049 : x - Step 2: Convert to fraction form
25,880,062,976,160/35,715,609,565,588 = 14,331,833,040,049/x - Step 3: Cross multiply
25,880,062,976,160x = 35,715,609,565,588 × 14,331,833,040,049 - Step 4: Simplify right side
25,880,062,976,160x = 511,870,153,217,584,185,718,341,632 - Step 5: Solve for x
x = 511,870,153,217,584,185,718,341,632/25,880,062,976,160 - Step 6: Final answer
x = 19,778,551,299,859.85
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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.