Finding the Fourth Proportional to 1,982,116,282.44, 2,966,707,366.20 and 1,457,346,244.80
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Solution
The fourth proportional to 1,982,116,282.44, 2,966,707,366.20 and 1,457,346,244.80 is: 2,181,264,478.71
Step by Step Solution
- Step 1: Write the proportion equation
1,982,116,282.44 : 2,966,707,366.20 = 1,457,346,244.80 : x - Step 2: Convert to fraction form
1,982,116,282.44/2,966,707,366.20 = 1,457,346,244.80/x - Step 3: Cross multiply
1,982,116,282.44x = 2,966,707,366.20 × 1,457,346,244.80 - Step 4: Simplify right side
1,982,116,282.44x = 4,323,519,839,552,068,096 - Step 5: Solve for x
x = 4,323,519,839,552,068,096/1,982,116,282.44 - Step 6: Final answer
x = 2,181,264,478.71
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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.