Finding the Fourth Proportional to 3,438,006,913.20, 5,157,010,369.80 and 984,343,816.20
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Solution
The fourth proportional to 3,438,006,913.20, 5,157,010,369.80 and 984,343,816.20 is: 1,476,515,724.30
Step by Step Solution
- Step 1: Write the proportion equation
3,438,006,913.20 : 5,157,010,369.80 = 984,343,816.20 : x - Step 2: Convert to fraction form
3,438,006,913.20/5,157,010,369.80 = 984,343,816.20/x - Step 3: Cross multiply
3,438,006,913.20x = 5,157,010,369.80 × 984,343,816.20 - Step 4: Simplify right side
3,438,006,913.20x = 5,076,271,267,591,905,280 - Step 5: Solve for x
x = 5,076,271,267,591,905,280/3,438,006,913.20 - Step 6: Final answer
x = 1,476,515,724.30
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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.