Finding the Fourth Proportional to 135,226,842,497.86, 202,879,522,116.68 and 54,510,890,722.06
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Solution
The fourth proportional to 135,226,842,497.86, 202,879,522,116.68 and 54,510,890,722.06 is: 81,782,161,407.94
Step by Step Solution
- Step 1: Write the proportion equation
135,226,842,497.86 : 202,879,522,116.68 = 54,510,890,722.06 : x - Step 2: Convert to fraction form
135,226,842,497.86/202,879,522,116.68 = 54,510,890,722.06/x - Step 3: Cross multiply
135,226,842,497.86x = 202,879,522,116.68 × 54,510,890,722.06 - Step 4: Simplify right side
135,226,842,497.86x = 11,059,143,459,846,097,993,728 - Step 5: Solve for x
x = 11,059,143,459,846,097,993,728/135,226,842,497.86 - Step 6: Final answer
x = 81,782,161,407.94
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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.