Finding the Fourth Proportional to 45,851,060,865,414, 68,786,251,878,122 and 14,869,715,219,131
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Solution
The fourth proportional to 45,851,060,865,414, 68,786,251,878,122 and 14,869,715,219,131 is: 22,307,705,800,338.93
Step by Step Solution
- Step 1: Write the proportion equation
45,851,060,865,414 : 68,786,251,878,122 = 14,869,715,219,131 : x - Step 2: Convert to fraction form
45,851,060,865,414/68,786,251,878,122 = 14,869,715,219,131/x - Step 3: Cross multiply
45,851,060,865,414x = 68,786,251,878,122 × 14,869,715,219,131 - Step 4: Simplify right side
45,851,060,865,414x = 1,022,831,976,419,089,007,735,996,416 - Step 5: Solve for x
x = 1,022,831,976,419,089,007,735,996,416/45,851,060,865,414 - Step 6: Final answer
x = 22,307,705,800,338.93
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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.