Finding the Fourth Proportional to 857,356,258,143.92, 1,286,069,878,417.10 and 252,981,452,094.32
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Solution
The fourth proportional to 857,356,258,143.92, 1,286,069,878,417.10 and 252,981,452,094.32 is: 379,482,650,585.74
Step by Step Solution
- Step 1: Write the proportion equation
857,356,258,143.92 : 1,286,069,878,417.10 = 252,981,452,094.32 : x - Step 2: Convert to fraction form
857,356,258,143.92/1,286,069,878,417.10 = 252,981,452,094.32/x - Step 3: Cross multiply
857,356,258,143.92x = 1,286,069,878,417.10 × 252,981,452,094.32 - Step 4: Simplify right side
857,356,258,143.92x = 325,351,825,336,723,574,882,304 - Step 5: Solve for x
x = 325,351,825,336,723,574,882,304/857,356,258,143.92 - Step 6: Final answer
x = 379,482,650,585.74
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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.