Finding the Fourth Proportional to 3,566,394,475.20, 5,349,591,712.80 and 946,193,515.20
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Solution
The fourth proportional to 3,566,394,475.20, 5,349,591,712.80 and 946,193,515.20 is: 1,419,290,272.80
Step by Step Solution
- Step 1: Write the proportion equation
3,566,394,475.20 : 5,349,591,712.80 = 946,193,515.20 : x - Step 2: Convert to fraction form
3,566,394,475.20/5,349,591,712.80 = 946,193,515.20/x - Step 3: Cross multiply
3,566,394,475.20x = 5,349,591,712.80 × 946,193,515.20 - Step 4: Simplify right side
3,566,394,475.20x = 5,061,748,987,619,020,800 - Step 5: Solve for x
x = 5,061,748,987,619,020,800/3,566,394,475.20 - Step 6: Final answer
x = 1,419,290,272.80
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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.