Finding the Fourth Proportional to 851,366,857,493.62, 1,277,053,599,427.40 and 205,971,449,006.78
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Solution
The fourth proportional to 851,366,857,493.62, 1,277,053,599,427.40 and 205,971,449,006.78 is: 308,957,975,070.53
Step by Step Solution
- Step 1: Write the proportion equation
851,366,857,493.62 : 1,277,053,599,427.40 = 205,971,449,006.78 : x - Step 2: Convert to fraction form
851,366,857,493.62/1,277,053,599,427.40 = 205,971,449,006.78/x - Step 3: Cross multiply
851,366,857,493.62x = 1,277,053,599,427.40 × 205,971,449,006.78 - Step 4: Simplify right side
851,366,857,493.62x = 263,036,580,333,385,559,310,336 - Step 5: Solve for x
x = 263,036,580,333,385,559,310,336/851,366,857,493.62 - Step 6: Final answer
x = 308,957,975,070.53
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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.