Finding the Fourth Proportional to 512,351,993,211.14, 768,373,260,769.58 and 154,108,866,654.70
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Solution
The fourth proportional to 512,351,993,211.14, 768,373,260,769.58 and 154,108,866,654.70 is: 231,116,759,481.75
Step by Step Solution
- Step 1: Write the proportion equation
512,351,993,211.14 : 768,373,260,769.58 = 154,108,866,654.70 : x - Step 2: Convert to fraction form
512,351,993,211.14/768,373,260,769.58 = 154,108,866,654.70/x - Step 3: Cross multiply
512,351,993,211.14x = 768,373,260,769.58 × 154,108,866,654.70 - Step 4: Simplify right side
512,351,993,211.14x = 118,413,132,384,976,232,251,392 - Step 5: Solve for x
x = 118,413,132,384,976,232,251,392/512,351,993,211.14 - Step 6: Final answer
x = 231,116,759,481.75
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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.