Finding the Fourth Proportional to 151,578,882,277.48, 209,170,570,449.04 and 82,977,024,287.08
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Solution
The fourth proportional to 151,578,882,277.48, 209,170,570,449.04 and 82,977,024,287.08 is: 114,503,757,010.95
Step by Step Solution
- Step 1: Write the proportion equation
151,578,882,277.48 : 209,170,570,449.04 = 82,977,024,287.08 : x - Step 2: Convert to fraction form
151,578,882,277.48/209,170,570,449.04 = 82,977,024,287.08/x - Step 3: Cross multiply
151,578,882,277.48x = 209,170,570,449.04 × 82,977,024,287.08 - Step 4: Simplify right side
151,578,882,277.48x = 17,356,351,504,292,371,234,816 - Step 5: Solve for x
x = 17,356,351,504,292,371,234,816/151,578,882,277.48 - Step 6: Final answer
x = 114,503,757,010.95
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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.