Finding the Fourth Proportional to 308,561,305,202.10, 462,901,562,678.34 and 117,318,473,288.28
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Solution
The fourth proportional to 308,561,305,202.10, 462,901,562,678.34 and 117,318,473,288.28 is: 176,000,372,375.31
Step by Step Solution
- Step 1: Write the proportion equation
308,561,305,202.10 : 462,901,562,678.34 = 117,318,473,288.28 : x - Step 2: Convert to fraction form
308,561,305,202.10/462,901,562,678.34 = 117,318,473,288.28/x - Step 3: Cross multiply
308,561,305,202.10x = 462,901,562,678.34 × 117,318,473,288.28 - Step 4: Simplify right side
308,561,305,202.10x = 54,306,904,616,181,899,984,896 - Step 5: Solve for x
x = 54,306,904,616,181,899,984,896/308,561,305,202.10 - Step 6: Final answer
x = 176,000,372,375.31
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.