Finding the Fourth Proportional to 1,750,382,135.71, 2,415,534,624.92 and 946,609,633.15
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Solution
The fourth proportional to 1,750,382,135.71, 2,415,534,624.92 and 946,609,633.15 is: 1,306,325,229.51
Step by Step Solution
- Step 1: Write the proportion equation
1,750,382,135.71 : 2,415,534,624.92 = 946,609,633.15 : x - Step 2: Convert to fraction form
1,750,382,135.71/2,415,534,624.92 = 946,609,633.15/x - Step 3: Cross multiply
1,750,382,135.71x = 2,415,534,624.92 × 946,609,633.15 - Step 4: Simplify right side
1,750,382,135.71x = 2,286,568,345,152,972,032 - Step 5: Solve for x
x = 2,286,568,345,152,972,032/1,750,382,135.71 - Step 6: Final answer
x = 1,306,325,229.51
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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.