Finding the Fourth Proportional to 160,305,321,424.26, 221,296,661,477.02 and 92,626,820,257.62
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Solution
The fourth proportional to 160,305,321,424.26, 221,296,661,477.02 and 92,626,820,257.62 is: 127,868,531,775.02
Step by Step Solution
- Step 1: Write the proportion equation
160,305,321,424.26 : 221,296,661,477.02 = 92,626,820,257.62 : x - Step 2: Convert to fraction form
160,305,321,424.26/221,296,661,477.02 = 92,626,820,257.62/x - Step 3: Cross multiply
160,305,321,424.26x = 221,296,661,477.02 × 92,626,820,257.62 - Step 4: Simplify right side
160,305,321,424.26x = 20,498,006,086,243,309,322,240 - Step 5: Solve for x
x = 20,498,006,086,243,309,322,240/160,305,321,424.26 - Step 6: Final answer
x = 127,868,531,775.02
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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.