Finding the Fourth Proportional to 4,186,782,411.32, 5,777,684,901.68 and 2,281,560,438.80
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Solution
The fourth proportional to 4,186,782,411.32, 5,777,684,901.68 and 2,281,560,438.80 is: 3,148,512,629.62
Step by Step Solution
- Step 1: Write the proportion equation
4,186,782,411.32 : 5,777,684,901.68 = 2,281,560,438.80 : x - Step 2: Convert to fraction form
4,186,782,411.32/5,777,684,901.68 = 2,281,560,438.80/x - Step 3: Cross multiply
4,186,782,411.32x = 5,777,684,901.68 × 2,281,560,438.80 - Step 4: Simplify right side
4,186,782,411.32x = 13,182,137,299,525,156,864 - Step 5: Solve for x
x = 13,182,137,299,525,156,864/4,186,782,411.32 - Step 6: Final answer
x = 3,148,512,629.62
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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.