Finding the Fourth Proportional to 414,314,112,636.80, 621,471,192,574.80 and 100,245,236,220.80
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Solution
The fourth proportional to 414,314,112,636.80, 621,471,192,574.80 and 100,245,236,220.80 is: 150,367,860,046.07
Step by Step Solution
- Step 1: Write the proportion equation
414,314,112,636.80 : 621,471,192,574.80 = 100,245,236,220.80 : x - Step 2: Convert to fraction form
414,314,112,636.80/621,471,192,574.80 = 100,245,236,220.80/x - Step 3: Cross multiply
414,314,112,636.80x = 621,471,192,574.80 × 100,245,236,220.80 - Step 4: Simplify right side
414,314,112,636.80x = 62,299,526,504,083,116,523,520 - Step 5: Solve for x
x = 62,299,526,504,083,116,523,520/414,314,112,636.80 - Step 6: Final answer
x = 150,367,860,046.07
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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.