Finding the Fourth Proportional to 221,383,615,651.23, 305,509,684,217.58 and 119,885,676,021.75
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Solution
The fourth proportional to 221,383,615,651.23, 305,509,684,217.58 and 119,885,676,021.75 is: 165,442,392,454.72
Step by Step Solution
- Step 1: Write the proportion equation
221,383,615,651.23 : 305,509,684,217.58 = 119,885,676,021.75 : x - Step 2: Convert to fraction form
221,383,615,651.23/305,509,684,217.58 = 119,885,676,021.75/x - Step 3: Cross multiply
221,383,615,651.23x = 305,509,684,217.58 × 119,885,676,021.75 - Step 4: Simplify right side
221,383,615,651.23x = 36,626,235,023,615,949,012,992 - Step 5: Solve for x
x = 36,626,235,023,615,949,012,992/221,383,615,651.23 - Step 6: Final answer
x = 165,442,392,454.72
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.