Finding the Fourth Proportional to 170,201,103,304.05, 255,301,654,956.07 and 100,544,068,552.05
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Solution
The fourth proportional to 170,201,103,304.05, 255,301,654,956.07 and 100,544,068,552.05 is: 150,816,102,828.07
Step by Step Solution
- Step 1: Write the proportion equation
170,201,103,304.05 : 255,301,654,956.07 = 100,544,068,552.05 : x - Step 2: Convert to fraction form
170,201,103,304.05/255,301,654,956.07 = 100,544,068,552.05/x - Step 3: Cross multiply
170,201,103,304.05x = 255,301,654,956.07 × 100,544,068,552.05 - Step 4: Simplify right side
170,201,103,304.05x = 25,669,067,097,354,918,690,816 - Step 5: Solve for x
x = 25,669,067,097,354,918,690,816/170,201,103,304.05 - Step 6: Final answer
x = 150,816,102,828.07
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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.