Finding the Fourth Proportional to 22,025,832,330,110, 30,395,743,113,124 and 12,014,542,784,864
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Solution
The fourth proportional to 22,025,832,330,110, 30,395,743,113,124 and 12,014,542,784,864 is: 16,580,120,589,183.64
Step by Step Solution
- Step 1: Write the proportion equation
22,025,832,330,110 : 30,395,743,113,124 = 12,014,542,784,864 : x - Step 2: Convert to fraction form
22,025,832,330,110/30,395,743,113,124 = 12,014,542,784,864/x - Step 3: Cross multiply
22,025,832,330,110x = 30,395,743,113,124 × 12,014,542,784,864 - Step 4: Simplify right side
22,025,832,330,110x = 365,190,956,110,363,553,169,408,000 - Step 5: Solve for x
x = 365,190,956,110,363,553,169,408,000/22,025,832,330,110 - Step 6: Final answer
x = 16,580,120,589,183.64
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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.