Finding the Fourth Proportional to 1,070,073,069,049, 1,605,260,384,429 and 343,760,855,646
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Solution
The fourth proportional to 1,070,073,069,049, 1,605,260,384,429 and 343,760,855,646 is: 515,689,721,802.23
Step by Step Solution
- Step 1: Write the proportion equation
1,070,073,069,049 : 1,605,260,384,429 = 343,760,855,646 : x - Step 2: Convert to fraction form
1,070,073,069,049/1,605,260,384,429 = 343,760,855,646/x - Step 3: Cross multiply
1,070,073,069,049x = 1,605,260,384,429 × 343,760,855,646 - Step 4: Simplify right side
1,070,073,069,049x = 551,825,683,285,939,910,082,560 - Step 5: Solve for x
x = 551,825,683,285,939,910,082,560/1,070,073,069,049 - Step 6: Final answer
x = 515,689,721,802.23
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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.