Finding the Fourth Proportional to 417,489,643.38, 576,119,923.11 and 231,862,616.49
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Solution
The fourth proportional to 417,489,643.38, 576,119,923.11 and 231,862,616.49 is: 319,961,644.32
Step by Step Solution
- Step 1: Write the proportion equation
417,489,643.38 : 576,119,923.11 = 231,862,616.49 : x - Step 2: Convert to fraction form
417,489,643.38/576,119,923.11 = 231,862,616.49/x - Step 3: Cross multiply
417,489,643.38x = 576,119,923.11 × 231,862,616.49 - Step 4: Simplify right side
417,489,643.38x = 133,580,672,784,302,224 - Step 5: Solve for x
x = 133,580,672,784,302,224/417,489,643.38 - Step 6: Final answer
x = 319,961,644.32
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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.