Finding the Fourth Proportional to 81,452,208,546.08, 122,178,312,819.12 and 81,452,208,546.08
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Solution
The fourth proportional to 81,452,208,546.08, 122,178,312,819.12 and 81,452,208,546.08 is: 122,178,312,819.12
Step by Step Solution
- Step 1: Write the proportion equation
81,452,208,546.08 : 122,178,312,819.12 = 81,452,208,546.08 : x - Step 2: Convert to fraction form
81,452,208,546.08/122,178,312,819.12 = 81,452,208,546.08/x - Step 3: Cross multiply
81,452,208,546.08x = 122,178,312,819.12 × 81,452,208,546.08 - Step 4: Simplify right side
81,452,208,546.08x = 9,951,693,415,550,550,016,000 - Step 5: Solve for x
x = 9,951,693,415,550,550,016,000/81,452,208,546.08 - Step 6: Final answer
x = 122,178,312,819.12
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1.5x scale
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.