Finding the Fourth Proportional to 16,126,518,096,165, 24,189,777,144,248 and 16,126,518,096,165
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Solution
The fourth proportional to 16,126,518,096,165, 24,189,777,144,248 and 16,126,518,096,165 is: 24,189,777,144,248
Step by Step Solution
- Step 1: Write the proportion equation
16,126,518,096,165 : 24,189,777,144,248 = 16,126,518,096,165 : x - Step 2: Convert to fraction form
16,126,518,096,165/24,189,777,144,248 = 16,126,518,096,165/x - Step 3: Cross multiply
16,126,518,096,165x = 24,189,777,144,248 × 16,126,518,096,165 - Step 4: Simplify right side
16,126,518,096,165x = 390,096,878,858,913,886,962,188,288 - Step 5: Solve for x
x = 390,096,878,858,913,886,962,188,288/16,126,518,096,165 - Step 6: Final answer
x = 24,189,777,144,248
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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.