Finding the Fourth Proportional to 414,449,822.37, 572,198,872.01 and 263,827,464.75
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Solution
The fourth proportional to 414,449,822.37, 572,198,872.01 and 263,827,464.75 is: 364,246,211.69
Step by Step Solution
- Step 1: Write the proportion equation
414,449,822.37 : 572,198,872.01 = 263,827,464.75 : x - Step 2: Convert to fraction form
414,449,822.37/572,198,872.01 = 263,827,464.75/x - Step 3: Cross multiply
414,449,822.37x = 572,198,872.01 × 263,827,464.75 - Step 4: Simplify right side
414,449,822.37x = 150,961,777,733,888,896 - Step 5: Solve for x
x = 150,961,777,733,888,896/414,449,822.37 - Step 6: Final answer
x = 364,246,211.69
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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.