Finding the Fourth Proportional to 180,477,672,079.80, 270,716,508,119.70 and 96,794,846,455.80
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Solution
The fourth proportional to 180,477,672,079.80, 270,716,508,119.70 and 96,794,846,455.80 is: 145,192,269,683.70
Step by Step Solution
- Step 1: Write the proportion equation
180,477,672,079.80 : 270,716,508,119.70 = 96,794,846,455.80 : x - Step 2: Convert to fraction form
180,477,672,079.80/270,716,508,119.70 = 96,794,846,455.80/x - Step 3: Cross multiply
180,477,672,079.80x = 270,716,508,119.70 × 96,794,846,455.80 - Step 4: Simplify right side
180,477,672,079.80x = 26,203,962,836,496,697,786,368 - Step 5: Solve for x
x = 26,203,962,836,496,697,786,368/180,477,672,079.80 - Step 6: Final answer
x = 145,192,269,683.70
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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.