Finding the Fourth Proportional to 3,796,918,898,736, 5,240,197,277,878.40 and 2,255,422,372,415.20
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Solution
The fourth proportional to 3,796,918,898,736, 5,240,197,277,878.40 and 2,255,422,372,415.20 is: 3,112,749,703,537.44
Step by Step Solution
- Step 1: Write the proportion equation
3,796,918,898,736 : 5,240,197,277,878.40 = 2,255,422,372,415.20 : x - Step 2: Convert to fraction form
3,796,918,898,736/5,240,197,277,878.40 = 2,255,422,372,415.20/x - Step 3: Cross multiply
3,796,918,898,736x = 5,240,197,277,878.40 × 2,255,422,372,415.20 - Step 4: Simplify right side
3,796,918,898,736x = 11,818,858,176,396,176,039,870,464 - Step 5: Solve for x
x = 11,818,858,176,396,176,039,870,464/3,796,918,898,736 - Step 6: Final answer
x = 3,112,749,703,537.44
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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.