Finding the Fourth Proportional to 16,135,649,028.40, 24,171,059,392.71 and 8,034,704,416.75
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Solution
The fourth proportional to 16,135,649,028.40, 24,171,059,392.71 and 8,034,704,416.75 is: 12,035,916,083.59
Step by Step Solution
- Step 1: Write the proportion equation
16,135,649,028.40 : 24,171,059,392.71 = 8,034,704,416.75 : x - Step 2: Convert to fraction form
16,135,649,028.40/24,171,059,392.71 = 8,034,704,416.75/x - Step 3: Cross multiply
16,135,649,028.40x = 24,171,059,392.71 × 8,034,704,416.75 - Step 4: Simplify right side
16,135,649,028.40x = 194,207,317,660,133,588,992 - Step 5: Solve for x
x = 194,207,317,660,133,588,992/16,135,649,028.40 - Step 6: Final answer
x = 12,035,916,083.59
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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.