Finding the Fourth Proportional to 98,319,327,514.49, 135,679,228,007.53 and 54,916,245,787.42
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Solution
The fourth proportional to 98,319,327,514.49, 135,679,228,007.53 and 54,916,245,787.42 is: 75,783,612,661.62
Step by Step Solution
- Step 1: Write the proportion equation
98,319,327,514.49 : 135,679,228,007.53 = 54,916,245,787.42 : x - Step 2: Convert to fraction form
98,319,327,514.49/135,679,228,007.53 = 54,916,245,787.42/x - Step 3: Cross multiply
98,319,327,514.49x = 135,679,228,007.53 × 54,916,245,787.42 - Step 4: Simplify right side
98,319,327,514.49x = 7,450,993,833,508,916,428,800 - Step 5: Solve for x
x = 7,450,993,833,508,916,428,800/98,319,327,514.49 - Step 6: Final answer
x = 75,783,612,661.62
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1.5x scale
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.