Finding the Fourth Proportional to 4,164,675,724.84, 5,747,263,413.78 and 2,259,437,101.48
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Solution
The fourth proportional to 4,164,675,724.84, 5,747,263,413.78 and 2,259,437,101.48 is: 3,118,029,120.88
Step by Step Solution
- Step 1: Write the proportion equation
4,164,675,724.84 : 5,747,263,413.78 = 2,259,437,101.48 : x - Step 2: Convert to fraction form
4,164,675,724.84/5,747,263,413.78 = 2,259,437,101.48/x - Step 3: Cross multiply
4,164,675,724.84x = 5,747,263,413.78 × 2,259,437,101.48 - Step 4: Simplify right side
4,164,675,724.84x = 12,985,580,189,073,133,568 - Step 5: Solve for x
x = 12,985,580,189,073,133,568/4,164,675,724.84 - Step 6: Final answer
x = 3,118,029,120.88
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1.5x scale
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.