Finding the Fourth Proportional to 49,896,891,150,068, 74,792,511,645,104 and 16,783,864,550,150
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Solution
The fourth proportional to 49,896,891,150,068, 74,792,511,645,104 and 16,783,864,550,150 is: 25,158,028,003,017.81
Step by Step Solution
- Step 1: Write the proportion equation
49,896,891,150,068 : 74,792,511,645,104 = 16,783,864,550,150 : x - Step 2: Convert to fraction form
49,896,891,150,068/74,792,511,645,104 = 16,783,864,550,150/x - Step 3: Cross multiply
49,896,891,150,068x = 74,792,511,645,104 × 16,783,864,550,150 - Step 4: Simplify right side
49,896,891,150,068x = 1,255,307,384,816,942,133,027,012,608 - Step 5: Solve for x
x = 1,255,307,384,816,942,133,027,012,608/49,896,891,150,068 - Step 6: Final answer
x = 25,158,028,003,017.81
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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.