Finding the Fourth Proportional to 1,193,227,647,225.20, 1,646,654,812,596.60 and 644,518,948,920.68
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Solution
The fourth proportional to 1,193,227,647,225.20, 1,646,654,812,596.60 and 644,518,948,920.68 is: 889,436,505,697.76
Step by Step Solution
- Step 1: Write the proportion equation
1,193,227,647,225.20 : 1,646,654,812,596.60 = 644,518,948,920.68 : x - Step 2: Convert to fraction form
1,193,227,647,225.20/1,646,654,812,596.60 = 644,518,948,920.68/x - Step 3: Cross multiply
1,193,227,647,225.20x = 1,646,654,812,596.60 × 644,518,948,920.68 - Step 4: Simplify right side
1,193,227,647,225.20x = 1,061,300,229,049,940,069,842,944 - Step 5: Solve for x
x = 1,061,300,229,049,940,069,842,944/1,193,227,647,225.20 - Step 6: Final answer
x = 889,436,505,697.76
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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.