Finding the Fourth Proportional to 5,218,721,175,867, 7,202,058,434,992 and 2,906,466,880,202.20
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Solution
The fourth proportional to 5,218,721,175,867, 7,202,058,434,992 and 2,906,466,880,202.20 is: 4,011,048,608,495.08
Step by Step Solution
- Step 1: Write the proportion equation
5,218,721,175,867 : 7,202,058,434,992 = 2,906,466,880,202.20 : x - Step 2: Convert to fraction form
5,218,721,175,867/7,202,058,434,992 = 2,906,466,880,202.20/x - Step 3: Cross multiply
5,218,721,175,867x = 7,202,058,434,992 × 2,906,466,880,202.20 - Step 4: Simplify right side
5,218,721,175,867x = 20,932,544,310,585,140,717,813,760 - Step 5: Solve for x
x = 20,932,544,310,585,140,717,813,760/5,218,721,175,867 - Step 6: Final answer
x = 4,011,048,608,495.08
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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.