Finding the Fourth Proportional to 167,949,382,794.49, 252,103,350,594.80 and 72,382,564,198.62
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Solution
The fourth proportional to 167,949,382,794.49, 252,103,350,594.80 and 72,382,564,198.62 is: 108,651,110,563.74
Step by Step Solution
- Step 1: Write the proportion equation
167,949,382,794.49 : 252,103,350,594.80 = 72,382,564,198.62 : x - Step 2: Convert to fraction form
167,949,382,794.49/252,103,350,594.80 = 72,382,564,198.62/x - Step 3: Cross multiply
167,949,382,794.49x = 252,103,350,594.80 × 72,382,564,198.62 - Step 4: Simplify right side
167,949,382,794.49x = 18,247,886,959,115,314,921,472 - Step 5: Solve for x
x = 18,247,886,959,115,314,921,472/167,949,382,794.49 - Step 6: Final answer
x = 108,651,110,563.74
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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.