Finding the Fourth Proportional to 100,265,202,207.07, 150,397,803,310.60 and 100,265,202,207.07
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Solution
The fourth proportional to 100,265,202,207.07, 150,397,803,310.60 and 100,265,202,207.07 is: 150,397,803,310.60
Step by Step Solution
- Step 1: Write the proportion equation
100,265,202,207.07 : 150,397,803,310.60 = 100,265,202,207.07 : x - Step 2: Convert to fraction form
100,265,202,207.07/150,397,803,310.60 = 100,265,202,207.07/x - Step 3: Cross multiply
100,265,202,207.07x = 150,397,803,310.60 × 100,265,202,207.07 - Step 4: Simplify right side
100,265,202,207.07x = 15,079,666,160,436,451,999,744 - Step 5: Solve for x
x = 15,079,666,160,436,451,999,744/100,265,202,207.07 - Step 6: Final answer
x = 150,397,803,310.60
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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.