Finding the Fourth Proportional to 199,119,302,575.80, 298,678,953,863.70 and 199,119,302,575.80
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Solution
The fourth proportional to 199,119,302,575.80, 298,678,953,863.70 and 199,119,302,575.80 is: 298,678,953,863.70
Step by Step Solution
- Step 1: Write the proportion equation
199,119,302,575.80 : 298,678,953,863.70 = 199,119,302,575.80 : x - Step 2: Convert to fraction form
199,119,302,575.80/298,678,953,863.70 = 199,119,302,575.80/x - Step 3: Cross multiply
199,119,302,575.80x = 298,678,953,863.70 × 199,119,302,575.80 - Step 4: Simplify right side
199,119,302,575.80x = 59,472,744,987,409,489,330,176 - Step 5: Solve for x
x = 59,472,744,987,409,489,330,176/199,119,302,575.80 - Step 6: Final answer
x = 298,678,953,863.70
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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.