Finding the Fourth Proportional to 3,182,134,848,649.60, 4,773,202,267,580.70 and 764,635,670,383.99
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Solution
The fourth proportional to 3,182,134,848,649.60, 4,773,202,267,580.70 and 764,635,670,383.99 is: 1,146,953,504,279.93
Step by Step Solution
- Step 1: Write the proportion equation
3,182,134,848,649.60 : 4,773,202,267,580.70 = 764,635,670,383.99 : x - Step 2: Convert to fraction form
3,182,134,848,649.60/4,773,202,267,580.70 = 764,635,670,383.99/x - Step 3: Cross multiply
3,182,134,848,649.60x = 4,773,202,267,580.70 × 764,635,670,383.99 - Step 4: Simplify right side
3,182,134,848,649.60x = 3,649,760,715,749,949,911,859,200 - Step 5: Solve for x
x = 3,649,760,715,749,949,911,859,200/3,182,134,848,649.60 - Step 6: Final answer
x = 1,146,953,504,279.93
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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.