Finding the Fourth Proportional to 149,614,889,279.20, 206,465,995,486.04 and 81,025,746,539.60
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Solution
The fourth proportional to 149,614,889,279.20, 206,465,995,486.04 and 81,025,746,539.60 is: 111,814,148,310.33
Step by Step Solution
- Step 1: Write the proportion equation
149,614,889,279.20 : 206,465,995,486.04 = 81,025,746,539.60 : x - Step 2: Convert to fraction form
149,614,889,279.20/206,465,995,486.04 = 81,025,746,539.60/x - Step 3: Cross multiply
149,614,889,279.20x = 206,465,995,486.04 × 81,025,746,539.60 - Step 4: Simplify right side
149,614,889,279.20x = 16,729,061,419,298,077,016,064 - Step 5: Solve for x
x = 16,729,061,419,298,077,016,064/149,614,889,279.20 - Step 6: Final answer
x = 111,814,148,310.33
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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.