Finding the Fourth Proportional to 484,276,636,203.97, 668,322,061,107.20 and 278,511,036,208.75
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Solution
The fourth proportional to 484,276,636,203.97, 668,322,061,107.20 and 278,511,036,208.75 is: 384,356,906,455.71
Step by Step Solution
- Step 1: Write the proportion equation
484,276,636,203.97 : 668,322,061,107.20 = 278,511,036,208.75 : x - Step 2: Convert to fraction form
484,276,636,203.97/668,322,061,107.20 = 278,511,036,208.75/x - Step 3: Cross multiply
484,276,636,203.97x = 668,322,061,107.20 × 278,511,036,208.75 - Step 4: Simplify right side
484,276,636,203.97x = 186,135,069,760,133,789,646,848 - Step 5: Solve for x
x = 186,135,069,760,133,789,646,848/484,276,636,203.97 - Step 6: Final answer
x = 384,356,906,455.71
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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.