Finding the Fourth Proportional to 3,639,382,996,180.20, 5,022,506,408,576 and 2,015,413,161,414.60
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Solution
The fourth proportional to 3,639,382,996,180.20, 5,022,506,408,576 and 2,015,413,161,414.60 is: 2,781,357,589,942.44
Step by Step Solution
- Step 1: Write the proportion equation
3,639,382,996,180.20 : 5,022,506,408,576 = 2,015,413,161,414.60 : x - Step 2: Convert to fraction form
3,639,382,996,180.20/5,022,506,408,576 = 2,015,413,161,414.60/x - Step 3: Cross multiply
3,639,382,996,180.20x = 5,022,506,408,576 × 2,015,413,161,414.60 - Step 4: Simplify right side
3,639,382,996,180.20x = 10,122,425,519,133,245,627,695,104 - Step 5: Solve for x
x = 10,122,425,519,133,245,627,695,104/3,639,382,996,180.20 - Step 6: Final answer
x = 2,781,357,589,942.44
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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.