Finding the Fourth Proportional to 206,876,706,864.09, 310,315,060,296.14 and 206,876,706,864.09
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Solution
The fourth proportional to 206,876,706,864.09, 310,315,060,296.14 and 206,876,706,864.09 is: 310,315,060,296.14
Step by Step Solution
- Step 1: Write the proportion equation
206,876,706,864.09 : 310,315,060,296.14 = 206,876,706,864.09 : x - Step 2: Convert to fraction form
206,876,706,864.09/310,315,060,296.14 = 206,876,706,864.09/x - Step 3: Cross multiply
206,876,706,864.09x = 310,315,060,296.14 × 206,876,706,864.09 - Step 4: Simplify right side
206,876,706,864.09x = 64,196,957,764,396,970,409,984 - Step 5: Solve for x
x = 64,196,957,764,396,970,409,984/206,876,706,864.09 - Step 6: Final answer
x = 310,315,060,296.14
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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.