Finding the Fourth Proportional to 3,728,102,413,696.20, 5,592,406,161,406.40 and 1,310,309,288,371
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Solution
The fourth proportional to 3,728,102,413,696.20, 5,592,406,161,406.40 and 1,310,309,288,371 is: 1,965,552,692,628.14
Step by Step Solution
- Step 1: Write the proportion equation
3,728,102,413,696.20 : 5,592,406,161,406.40 = 1,310,309,288,371 : x - Step 2: Convert to fraction form
3,728,102,413,696.20/5,592,406,161,406.40 = 1,310,309,288,371/x - Step 3: Cross multiply
3,728,102,413,696.20x = 5,592,406,161,406.40 × 1,310,309,288,371 - Step 4: Simplify right side
3,728,102,413,696.20x = 7,327,781,737,634,016,345,980,928 - Step 5: Solve for x
x = 7,327,781,737,634,016,345,980,928/3,728,102,413,696.20 - Step 6: Final answer
x = 1,965,552,692,628.14
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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.