Finding the Fourth Proportional to 192,264,138,023.40, 288,396,207,035.10 and 163,857,128,538.60
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Solution
The fourth proportional to 192,264,138,023.40, 288,396,207,035.10 and 163,857,128,538.60 is: 245,785,692,807.90
Step by Step Solution
- Step 1: Write the proportion equation
192,264,138,023.40 : 288,396,207,035.10 = 163,857,128,538.60 : x - Step 2: Convert to fraction form
192,264,138,023.40/288,396,207,035.10 = 163,857,128,538.60/x - Step 3: Cross multiply
192,264,138,023.40x = 288,396,207,035.10 × 163,857,128,538.60 - Step 4: Simplify right side
192,264,138,023.40x = 47,255,774,366,195,074,990,080 - Step 5: Solve for x
x = 47,255,774,366,195,074,990,080/192,264,138,023.40 - Step 6: Final answer
x = 245,785,692,807.90
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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.