Finding the Fourth Proportional to 7,094,120,509,409, 10,641,198,202,020 and 2,000,486,385,051.10
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Solution
The fourth proportional to 7,094,120,509,409, 10,641,198,202,020 and 2,000,486,385,051.10 is: 3,000,734,494,929.62
Step by Step Solution
- Step 1: Write the proportion equation
7,094,120,509,409 : 10,641,198,202,020 = 2,000,486,385,051.10 : x - Step 2: Convert to fraction form
7,094,120,509,409/10,641,198,202,020 = 2,000,486,385,051.10/x - Step 3: Cross multiply
7,094,120,509,409x = 10,641,198,202,020 × 2,000,486,385,051.10 - Step 4: Simplify right side
7,094,120,509,409x = 21,287,572,123,771,255,981,604,864 - Step 5: Solve for x
x = 21,287,572,123,771,255,981,604,864/7,094,120,509,409 - Step 6: Final answer
x = 3,000,734,494,929.62
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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.