Finding the Fourth Proportional to 206,876,706,819.09, 310,315,060,228.62 and 206,876,706,819.09
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Solution
The fourth proportional to 206,876,706,819.09, 310,315,060,228.62 and 206,876,706,819.09 is: 310,315,060,228.62
Step by Step Solution
- Step 1: Write the proportion equation
206,876,706,819.09 : 310,315,060,228.62 = 206,876,706,819.09 : x - Step 2: Convert to fraction form
206,876,706,819.09/310,315,060,228.62 = 206,876,706,819.09/x - Step 3: Cross multiply
206,876,706,819.09x = 310,315,060,228.62 × 206,876,706,819.09 - Step 4: Simplify right side
206,876,706,819.09x = 64,196,957,736,464,474,439,680 - Step 5: Solve for x
x = 64,196,957,736,464,474,439,680/206,876,706,819.09 - Step 6: Final answer
x = 310,315,060,228.62
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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.