Finding the Fourth Proportional to 2,071,674,102.24, 3,105,416,823.84 and 892,023,885.84
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Solution
The fourth proportional to 2,071,674,102.24, 3,105,416,823.84 and 892,023,885.84 is: 1,337,134,049.88
Step by Step Solution
- Step 1: Write the proportion equation
2,071,674,102.24 : 3,105,416,823.84 = 892,023,885.84 : x - Step 2: Convert to fraction form
2,071,674,102.24/3,105,416,823.84 = 892,023,885.84/x - Step 3: Cross multiply
2,071,674,102.24x = 3,105,416,823.84 × 892,023,885.84 - Step 4: Simplify right side
2,071,674,102.24x = 2,770,105,982,354,668,032 - Step 5: Solve for x
x = 2,770,105,982,354,668,032/2,071,674,102.24 - Step 6: Final answer
x = 1,337,134,049.88
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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.