Finding the Fourth Proportional to 2,016,204,161.20, 3,024,306,241.80 and 1,608,057,473.20
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Solution
The fourth proportional to 2,016,204,161.20, 3,024,306,241.80 and 1,608,057,473.20 is: 2,412,086,209.80
Step by Step Solution
- Step 1: Write the proportion equation
2,016,204,161.20 : 3,024,306,241.80 = 1,608,057,473.20 : x - Step 2: Convert to fraction form
2,016,204,161.20/3,024,306,241.80 = 1,608,057,473.20/x - Step 3: Cross multiply
2,016,204,161.20x = 3,024,306,241.80 × 1,608,057,473.20 - Step 4: Simplify right side
2,016,204,161.20x = 4,863,258,253,371,896,832 - Step 5: Solve for x
x = 4,863,258,253,371,896,832/2,016,204,161.20 - Step 6: Final answer
x = 2,412,086,209.80
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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.