Finding the Fourth Proportional to 2,930,100,415.40, 4,395,150,623.10 and 2,000,291,241.80
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Solution
The fourth proportional to 2,930,100,415.40, 4,395,150,623.10 and 2,000,291,241.80 is: 3,000,436,862.70
Step by Step Solution
- Step 1: Write the proportion equation
2,930,100,415.40 : 4,395,150,623.10 = 2,000,291,241.80 : x - Step 2: Convert to fraction form
2,930,100,415.40/4,395,150,623.10 = 2,000,291,241.80/x - Step 3: Cross multiply
2,930,100,415.40x = 4,395,150,623.10 × 2,000,291,241.80 - Step 4: Simplify right side
2,930,100,415.40x = 8,791,581,297,778,743,296 - Step 5: Solve for x
x = 8,791,581,297,778,743,296/2,930,100,415.40 - Step 6: Final answer
x = 3,000,436,862.70
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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.