Finding the Fourth Proportional to 665,940,951,574.56, 918,999,193,315.68 and 361,446,670,333.44
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Solution
The fourth proportional to 665,940,951,574.56, 918,999,193,315.68 and 361,446,670,333.44 is: 498,796,774,215.02
Step by Step Solution
- Step 1: Write the proportion equation
665,940,951,574.56 : 918,999,193,315.68 = 361,446,670,333.44 : x - Step 2: Convert to fraction form
665,940,951,574.56/918,999,193,315.68 = 361,446,670,333.44/x - Step 3: Cross multiply
665,940,951,574.56x = 918,999,193,315.68 × 361,446,670,333.44 - Step 4: Simplify right side
665,940,951,574.56x = 332,169,198,463,069,917,806,592 - Step 5: Solve for x
x = 332,169,198,463,069,917,806,592/665,940,951,574.56 - Step 6: Final answer
x = 498,796,774,215.02
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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.