Finding the Fourth Proportional to 1,760,193,901,114.20, 2,640,287,556,146.80 and 551,536,840,277.14
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Solution
The fourth proportional to 1,760,193,901,114.20, 2,640,287,556,146.80 and 551,536,840,277.14 is: 827,304,227,800.40
Step by Step Solution
- Step 1: Write the proportion equation
1,760,193,901,114.20 : 2,640,287,556,146.80 = 551,536,840,277.14 : x - Step 2: Convert to fraction form
1,760,193,901,114.20/2,640,287,556,146.80 = 551,536,840,277.14/x - Step 3: Cross multiply
1,760,193,901,114.20x = 2,640,287,556,146.80 × 551,536,840,277.14 - Step 4: Simplify right side
1,760,193,901,114.20x = 1,456,215,856,140,257,882,800,128 - Step 5: Solve for x
x = 1,456,215,856,140,257,882,800,128/1,760,193,901,114.20 - Step 6: Final answer
x = 827,304,227,800.40
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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.