Finding the Fourth Proportional to 2,016,204,101.70, 3,024,306,152.55 and 1,608,057,413.70
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Solution
The fourth proportional to 2,016,204,101.70, 3,024,306,152.55 and 1,608,057,413.70 is: 2,412,086,120.55
Step by Step Solution
- Step 1: Write the proportion equation
2,016,204,101.70 : 3,024,306,152.55 = 1,608,057,413.70 : x - Step 2: Convert to fraction form
2,016,204,101.70/3,024,306,152.55 = 1,608,057,413.70/x - Step 3: Cross multiply
2,016,204,101.70x = 3,024,306,152.55 × 1,608,057,413.70 - Step 4: Simplify right side
2,016,204,101.70x = 4,863,257,929,906,550,784 - Step 5: Solve for x
x = 4,863,257,929,906,550,784/2,016,204,101.70 - Step 6: Final answer
x = 2,412,086,120.55
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1.5x scale
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.