Finding the Fourth Proportional to 111,966,255,195.99, 168,068,900,396.03 and 48,255,042,798.75
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Solution
The fourth proportional to 111,966,255,195.99, 168,068,900,396.03 and 48,255,042,798.75 is: 72,434,073,708.66
Step by Step Solution
- Step 1: Write the proportion equation
111,966,255,195.99 : 168,068,900,396.03 = 48,255,042,798.75 : x - Step 2: Convert to fraction form
111,966,255,195.99/168,068,900,396.03 = 48,255,042,798.75/x - Step 3: Cross multiply
111,966,255,195.99x = 168,068,900,396.03 × 48,255,042,798.75 - Step 4: Simplify right side
111,966,255,195.99x = 8,110,171,981,748,438,564,864 - Step 5: Solve for x
x = 8,110,171,981,748,438,564,864/111,966,255,195.99 - Step 6: Final answer
x = 72,434,073,708.66
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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.