Finding the Fourth Proportional to 1,966,469,119,933.40, 2,949,478,358,049.10 and 514,471,954,600.75
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Solution
The fourth proportional to 1,966,469,119,933.40, 2,949,478,358,049.10 and 514,471,954,600.75 is: 771,648,982,705.37
Step by Step Solution
- Step 1: Write the proportion equation
1,966,469,119,933.40 : 2,949,478,358,049.10 = 514,471,954,600.75 : x - Step 2: Convert to fraction form
1,966,469,119,933.40/2,949,478,358,049.10 = 514,471,954,600.75/x - Step 3: Cross multiply
1,966,469,119,933.40x = 2,949,478,358,049.10 × 514,471,954,600.75 - Step 4: Simplify right side
1,966,469,119,933.40x = 1,517,423,895,918,131,361,611,776 - Step 5: Solve for x
x = 1,517,423,895,918,131,361,611,776/1,966,469,119,933.40 - Step 6: Final answer
x = 771,648,982,705.37
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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.