Finding the Fourth Proportional to 180,820,604,268.90, 271,230,906,403.35 and 55,050,202,361.70
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Solution
The fourth proportional to 180,820,604,268.90, 271,230,906,403.35 and 55,050,202,361.70 is: 82,575,303,542.55
Step by Step Solution
- Step 1: Write the proportion equation
180,820,604,268.90 : 271,230,906,403.35 = 55,050,202,361.70 : x - Step 2: Convert to fraction form
180,820,604,268.90/271,230,906,403.35 = 55,050,202,361.70/x - Step 3: Cross multiply
180,820,604,268.90x = 271,230,906,403.35 × 55,050,202,361.70 - Step 4: Simplify right side
180,820,604,268.90x = 14,931,316,284,251,728,510,976 - Step 5: Solve for x
x = 14,931,316,284,251,728,510,976/180,820,604,268.90 - Step 6: Final answer
x = 82,575,303,542.55
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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.