Finding the Fourth Proportional to 275,081,094,007.62, 412,810,120,771.12 and 96,007,080,759.09
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Solution
The fourth proportional to 275,081,094,007.62, 412,810,120,771.12 and 96,007,080,759.09 is: 144,076,403,164.02
Step by Step Solution
- Step 1: Write the proportion equation
275,081,094,007.62 : 412,810,120,771.12 = 96,007,080,759.09 : x - Step 2: Convert to fraction form
275,081,094,007.62/412,810,120,771.12 = 96,007,080,759.09/x - Step 3: Cross multiply
275,081,094,007.62x = 412,810,120,771.12 × 96,007,080,759.09 - Step 4: Simplify right side
275,081,094,007.62x = 39,632,694,603,040,556,056,576 - Step 5: Solve for x
x = 39,632,694,603,040,556,056,576/275,081,094,007.62 - Step 6: Final answer
x = 144,076,403,164.02
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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.