Finding the Fourth Proportional to 198,493,234,937.10, 297,739,852,405.65 and 49,433,201,794.35
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Solution
The fourth proportional to 198,493,234,937.10, 297,739,852,405.65 and 49,433,201,794.35 is: 74,149,802,691.53
Step by Step Solution
- Step 1: Write the proportion equation
198,493,234,937.10 : 297,739,852,405.65 = 49,433,201,794.35 : x - Step 2: Convert to fraction form
198,493,234,937.10/297,739,852,405.65 = 49,433,201,794.35/x - Step 3: Cross multiply
198,493,234,937.10x = 297,739,852,405.65 × 49,433,201,794.35 - Step 4: Simplify right side
198,493,234,937.10x = 14,718,234,206,188,481,806,336 - Step 5: Solve for x
x = 14,718,234,206,188,481,806,336/198,493,234,937.10 - Step 6: Final answer
x = 74,149,802,691.53
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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.