Finding the Fourth Proportional to 120,341,026,509.78, 166,068,382,442.92 and 66,146,416,585.44
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Solution
The fourth proportional to 120,341,026,509.78, 166,068,382,442.92 and 66,146,416,585.44 is: 91,280,826,874.50
Step by Step Solution
- Step 1: Write the proportion equation
120,341,026,509.78 : 166,068,382,442.92 = 66,146,416,585.44 : x - Step 2: Convert to fraction form
120,341,026,509.78/166,068,382,442.92 = 66,146,416,585.44/x - Step 3: Cross multiply
120,341,026,509.78x = 166,068,382,442.92 × 66,146,416,585.44 - Step 4: Simplify right side
120,341,026,509.78x = 10,984,828,406,738,727,206,912 - Step 5: Solve for x
x = 10,984,828,406,738,727,206,912/120,341,026,509.78 - Step 6: Final answer
x = 91,280,826,874.50
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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.