Finding the Fourth Proportional to 221,047,029,612.20, 305,044,898,502.82 and 119,548,914,939.08
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Solution
The fourth proportional to 221,047,029,612.20, 305,044,898,502.82 and 119,548,914,939.08 is: 164,977,501,338.48
Step by Step Solution
- Step 1: Write the proportion equation
221,047,029,612.20 : 305,044,898,502.82 = 119,548,914,939.08 : x - Step 2: Convert to fraction form
221,047,029,612.20/305,044,898,502.82 = 119,548,914,939.08/x - Step 3: Cross multiply
221,047,029,612.20x = 305,044,898,502.82 × 119,548,914,939.08 - Step 4: Simplify right side
221,047,029,612.20x = 36,467,786,623,713,919,631,360 - Step 5: Solve for x
x = 36,467,786,623,713,919,631,360/221,047,029,612.20 - Step 6: Final answer
x = 164,977,501,338.48
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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.