Finding the Fourth Proportional to 194,110,207,357.70, 291,165,311,036.56 and 194,110,207,357.70
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Solution
The fourth proportional to 194,110,207,357.70, 291,165,311,036.56 and 194,110,207,357.70 is: 291,165,311,036.56
Step by Step Solution
- Step 1: Write the proportion equation
194,110,207,357.70 : 291,165,311,036.56 = 194,110,207,357.70 : x - Step 2: Convert to fraction form
194,110,207,357.70/291,165,311,036.56 = 194,110,207,357.70/x - Step 3: Cross multiply
194,110,207,357.70x = 291,165,311,036.56 × 194,110,207,357.70 - Step 4: Simplify right side
194,110,207,357.70x = 56,518,158,900,675,884,351,488 - Step 5: Solve for x
x = 56,518,158,900,675,884,351,488/194,110,207,357.70 - Step 6: Final answer
x = 291,165,311,036.56
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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.