Finding the Fourth Proportional to 208,123,611,704.74, 312,124,854,138.18 and 80,609,863,122.44
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Solution
The fourth proportional to 208,123,611,704.74, 312,124,854,138.18 and 80,609,863,122.44 is: 120,891,337,427.32
Step by Step Solution
- Step 1: Write the proportion equation
208,123,611,704.74 : 312,124,854,138.18 = 80,609,863,122.44 : x - Step 2: Convert to fraction form
208,123,611,704.74/312,124,854,138.18 = 80,609,863,122.44/x - Step 3: Cross multiply
208,123,611,704.74x = 312,124,854,138.18 × 80,609,863,122.44 - Step 4: Simplify right side
208,123,611,704.74x = 25,160,341,769,190,239,109,120 - Step 5: Solve for x
x = 25,160,341,769,190,239,109,120/208,123,611,704.74 - Step 6: Final answer
x = 120,891,337,427.32
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.