Finding the Fourth Proportional to 151,056,179,447.46, 226,472,565,574.47 and 91,351,568,352.12
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Solution
The fourth proportional to 151,056,179,447.46, 226,472,565,574.47 and 91,351,568,352.12 is: 136,959,799,523.81
Step by Step Solution
- Step 1: Write the proportion equation
151,056,179,447.46 : 226,472,565,574.47 = 91,351,568,352.12 : x - Step 2: Convert to fraction form
151,056,179,447.46/226,472,565,574.47 = 91,351,568,352.12/x - Step 3: Cross multiply
151,056,179,447.46x = 226,472,565,574.47 × 91,351,568,352.12 - Step 4: Simplify right side
151,056,179,447.46x = 20,688,624,053,956,175,200,256 - Step 5: Solve for x
x = 20,688,624,053,956,175,200,256/151,056,179,447.46 - Step 6: Final answer
x = 136,959,799,523.81
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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.