Finding the Fourth Proportional to 4,494,959,879,199, 6,201,981,471,289.40 and 2,543,995,629,350.20
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Solution
The fourth proportional to 4,494,959,879,199, 6,201,981,471,289.40 and 2,543,995,629,350.20 is: 3,510,112,254,679.96
Step by Step Solution
- Step 1: Write the proportion equation
4,494,959,879,199 : 6,201,981,471,289.40 = 2,543,995,629,350.20 : x - Step 2: Convert to fraction form
4,494,959,879,199/6,201,981,471,289.40 = 2,543,995,629,350.20/x - Step 3: Cross multiply
4,494,959,879,199x = 6,201,981,471,289.40 × 2,543,995,629,350.20 - Step 4: Simplify right side
4,494,959,879,199x = 15,777,813,756,271,159,180,001,280 - Step 5: Solve for x
x = 15,777,813,756,271,159,180,001,280/4,494,959,879,199 - Step 6: Final answer
x = 3,510,112,254,679.96
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.