Finding the Fourth Proportional to 141,227,805,910.08, 194,894,316,194.68 and 76,998,582,695.44
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Solution
The fourth proportional to 141,227,805,910.08, 194,894,316,194.68 and 76,998,582,695.44 is: 106,258,013,609.18
Step by Step Solution
- Step 1: Write the proportion equation
141,227,805,910.08 : 194,894,316,194.68 = 76,998,582,695.44 : x - Step 2: Convert to fraction form
141,227,805,910.08/194,894,316,194.68 = 76,998,582,695.44/x - Step 3: Cross multiply
141,227,805,910.08x = 194,894,316,194.68 × 76,998,582,695.44 - Step 4: Simplify right side
141,227,805,910.08x = 15,006,586,122,387,299,762,176 - Step 5: Solve for x
x = 15,006,586,122,387,299,762,176/141,227,805,910.08 - Step 6: Final answer
x = 106,258,013,609.18
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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.