Finding the Fourth Proportional to 1,760,489,745.80, 2,640,734,618.70 and 842,159,697.80
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Solution
The fourth proportional to 1,760,489,745.80, 2,640,734,618.70 and 842,159,697.80 is: 1,263,239,546.70
Step by Step Solution
- Step 1: Write the proportion equation
1,760,489,745.80 : 2,640,734,618.70 = 842,159,697.80 : x - Step 2: Convert to fraction form
1,760,489,745.80/2,640,734,618.70 = 842,159,697.80/x - Step 3: Cross multiply
1,760,489,745.80x = 2,640,734,618.70 × 842,159,697.80 - Step 4: Simplify right side
1,760,489,745.80x = 2,223,920,268,454,390,016 - Step 5: Solve for x
x = 2,223,920,268,454,390,016/1,760,489,745.80 - Step 6: Final answer
x = 1,263,239,546.70
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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.