Finding the Fourth Proportional to 4,570,681,212,138, 6,307,541,102,310.90 and 2,515,344,390,012.20
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Solution
The fourth proportional to 4,570,681,212,138, 6,307,541,102,310.90 and 2,515,344,390,012.20 is: 3,471,175,824,806.15
Step by Step Solution
- Step 1: Write the proportion equation
4,570,681,212,138 : 6,307,541,102,310.90 = 2,515,344,390,012.20 : x - Step 2: Convert to fraction form
4,570,681,212,138/6,307,541,102,310.90 = 2,515,344,390,012.20/x - Step 3: Cross multiply
4,570,681,212,138x = 6,307,541,102,310.90 × 2,515,344,390,012.20 - Step 4: Simplify right side
4,570,681,212,138x = 15,865,638,126,469,092,325,982,208 - Step 5: Solve for x
x = 15,865,638,126,469,092,325,982,208/4,570,681,212,138 - Step 6: Final answer
x = 3,471,175,824,806.15
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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.