Finding the Fourth Proportional to 81,015,877,980.13, 121,476,711,638.29 and 30,655,202,116.68
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Solution
The fourth proportional to 81,015,877,980.13, 121,476,711,638.29 and 30,655,202,116.68 is: 45,964,979,218.70
Step by Step Solution
- Step 1: Write the proportion equation
81,015,877,980.13 : 121,476,711,638.29 = 30,655,202,116.68 : x - Step 2: Convert to fraction form
81,015,877,980.13/121,476,711,638.29 = 30,655,202,116.68/x - Step 3: Cross multiply
81,015,877,980.13x = 121,476,711,638.29 × 30,655,202,116.68 - Step 4: Simplify right side
81,015,877,980.13x = 3,723,893,147,741,433,364,480 - Step 5: Solve for x
x = 3,723,893,147,741,433,364,480/81,015,877,980.13 - Step 6: Final answer
x = 45,964,979,218.70
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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.