Finding the Fourth Proportional to 12,682,780,452,011, 19,024,170,678,020 and 12,682,780,452,011
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Solution
The fourth proportional to 12,682,780,452,011, 19,024,170,678,020 and 12,682,780,452,011 is: 19,024,170,678,020
Step by Step Solution
- Step 1: Write the proportion equation
12,682,780,452,011 : 19,024,170,678,020 = 12,682,780,452,011 : x - Step 2: Convert to fraction form
12,682,780,452,011/19,024,170,678,020 = 12,682,780,452,011/x - Step 3: Cross multiply
12,682,780,452,011x = 19,024,170,678,020 × 12,682,780,452,011 - Step 4: Simplify right side
12,682,780,452,011x = 241,279,379,990,912,920,094,507,008 - Step 5: Solve for x
x = 241,279,379,990,912,920,094,507,008/12,682,780,452,011 - Step 6: Final answer
x = 19,024,170,678,020
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.