Finding the Fourth Proportional to 6,126,422,751.42, 9,192,307,100.58 and 2,145,364,202.40
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Solution
The fourth proportional to 6,126,422,751.42, 9,192,307,100.58 and 2,145,364,202.40 is: 3,218,982,331.33
Step by Step Solution
- Step 1: Write the proportion equation
6,126,422,751.42 : 9,192,307,100.58 = 2,145,364,202.40 : x - Step 2: Convert to fraction form
6,126,422,751.42/9,192,307,100.58 = 2,145,364,202.40/x - Step 3: Cross multiply
6,126,422,751.42x = 9,192,307,100.58 × 2,145,364,202.40 - Step 4: Simplify right side
6,126,422,751.42x = 19,720,846,591,051,669,504 - Step 5: Solve for x
x = 19,720,846,591,051,669,504/6,126,422,751.42 - Step 6: Final answer
x = 3,218,982,331.33
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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.