Finding the Fourth Proportional to 4,496,297,494.14, 6,204,644,720.94 and 2,461,354,685.13
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Solution
The fourth proportional to 4,496,297,494.14, 6,204,644,720.94 and 2,461,354,685.13 is: 3,396,534,898.63
Step by Step Solution
- Step 1: Write the proportion equation
4,496,297,494.14 : 6,204,644,720.94 = 2,461,354,685.13 : x - Step 2: Convert to fraction form
4,496,297,494.14/6,204,644,720.94 = 2,461,354,685.13/x - Step 3: Cross multiply
4,496,297,494.14x = 6,204,644,720.94 × 2,461,354,685.13 - Step 4: Simplify right side
4,496,297,494.14x = 15,271,831,353,452,789,760 - Step 5: Solve for x
x = 15,271,831,353,452,789,760/4,496,297,494.14 - Step 6: Final answer
x = 3,396,534,898.63
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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.