Finding the Fourth Proportional to 7,760,385,656.91, 10,711,324,782.88 and 5,054,396,542.08
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Solution
The fourth proportional to 7,760,385,656.91, 10,711,324,782.88 and 5,054,396,542.08 is: 6,976,365,007.77
Step by Step Solution
- Step 1: Write the proportion equation
7,760,385,656.91 : 10,711,324,782.88 = 5,054,396,542.08 : x - Step 2: Convert to fraction form
7,760,385,656.91/10,711,324,782.88 = 5,054,396,542.08/x - Step 3: Cross multiply
7,760,385,656.91x = 10,711,324,782.88 × 5,054,396,542.08 - Step 4: Simplify right side
7,760,385,656.91x = 54,139,282,943,659,204,608 - Step 5: Solve for x
x = 54,139,282,943,659,204,608/7,760,385,656.91 - Step 6: Final answer
x = 6,976,365,007.77
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.