Finding the Fourth Proportional to 135,226,842,495.85, 202,879,522,113.67 and 54,510,890,720.05
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Solution
The fourth proportional to 135,226,842,495.85, 202,879,522,113.67 and 54,510,890,720.05 is: 81,782,161,404.93
Step by Step Solution
- Step 1: Write the proportion equation
135,226,842,495.85 : 202,879,522,113.67 = 54,510,890,720.05 : x - Step 2: Convert to fraction form
135,226,842,495.85/202,879,522,113.67 = 54,510,890,720.05/x - Step 3: Cross multiply
135,226,842,495.85x = 202,879,522,113.67 × 54,510,890,720.05 - Step 4: Simplify right side
135,226,842,495.85x = 11,059,143,459,274,234,003,456 - Step 5: Solve for x
x = 11,059,143,459,274,234,003,456/135,226,842,495.85 - Step 6: Final answer
x = 81,782,161,404.93
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1.5x scale
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.