Finding the Fourth Proportional to 258,173,779,080.46, 387,148,198,236.42 and 137,135,846,746.75
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Solution
The fourth proportional to 258,173,779,080.46, 387,148,198,236.42 and 137,135,846,746.75 is: 205,644,028,494.02
Step by Step Solution
- Step 1: Write the proportion equation
258,173,779,080.46 : 387,148,198,236.42 = 137,135,846,746.75 : x - Step 2: Convert to fraction form
258,173,779,080.46/387,148,198,236.42 = 137,135,846,746.75/x - Step 3: Cross multiply
258,173,779,080.46x = 387,148,198,236.42 × 137,135,846,746.75 - Step 4: Simplify right side
258,173,779,080.46x = 53,091,895,981,630,082,252,800 - Step 5: Solve for x
x = 53,091,895,981,630,082,252,800/258,173,779,080.46 - Step 6: Final answer
x = 205,644,028,494.02
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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.