Finding the Fourth Proportional to 206,858,745,021.70, 310,288,117,532.55 and 206,858,745,021.70
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Solution
The fourth proportional to 206,858,745,021.70, 310,288,117,532.55 and 206,858,745,021.70 is: 310,288,117,532.55
Step by Step Solution
- Step 1: Write the proportion equation
206,858,745,021.70 : 310,288,117,532.55 = 206,858,745,021.70 : x - Step 2: Convert to fraction form
206,858,745,021.70/310,288,117,532.55 = 206,858,745,021.70/x - Step 3: Cross multiply
206,858,745,021.70x = 310,288,117,532.55 × 206,858,745,021.70 - Step 4: Simplify right side
206,858,745,021.70x = 64,185,810,587,929,041,436,672 - Step 5: Solve for x
x = 64,185,810,587,929,041,436,672/206,858,745,021.70 - Step 6: Final answer
x = 310,288,117,532.55
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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.