Finding the Fourth Proportional to 4,990,485,223,470, 6,886,864,385,233.20 and 2,795,665,892,865.60
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Solution
The fourth proportional to 4,990,485,223,470, 6,886,864,385,233.20 and 2,795,665,892,865.60 is: 3,858,016,006,146.99
Step by Step Solution
- Step 1: Write the proportion equation
4,990,485,223,470 : 6,886,864,385,233.20 = 2,795,665,892,865.60 : x - Step 2: Convert to fraction form
4,990,485,223,470/6,886,864,385,233.20 = 2,795,665,892,865.60/x - Step 3: Cross multiply
4,990,485,223,470x = 6,886,864,385,233.20 × 2,795,665,892,865.60 - Step 4: Simplify right side
4,990,485,223,470x = 19,253,371,870,587,276,520,062,976 - Step 5: Solve for x
x = 19,253,371,870,587,276,520,062,976/4,990,485,223,470 - Step 6: Final answer
x = 3,858,016,006,146.99
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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.