Finding the Fourth Proportional to 180,820,604,114.90, 271,230,906,172.36 and 55,050,202,207.70
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Solution
The fourth proportional to 180,820,604,114.90, 271,230,906,172.36 and 55,050,202,207.70 is: 82,575,303,311.55
Step by Step Solution
- Step 1: Write the proportion equation
180,820,604,114.90 : 271,230,906,172.36 = 55,050,202,207.70 : x - Step 2: Convert to fraction form
180,820,604,114.90/271,230,906,172.36 = 55,050,202,207.70/x - Step 3: Cross multiply
180,820,604,114.90x = 271,230,906,172.36 × 55,050,202,207.70 - Step 4: Simplify right side
180,820,604,114.90x = 14,931,316,229,766,121,521,152 - Step 5: Solve for x
x = 14,931,316,229,766,121,521,152/180,820,604,114.90 - Step 6: Final answer
x = 82,575,303,311.55
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Similar ratio
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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.