Finding the Fourth Proportional to 12,682,780,452,006, 19,024,170,678,009 and 12,682,780,452,006
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Solution
The fourth proportional to 12,682,780,452,006, 19,024,170,678,009 and 12,682,780,452,006 is: 19,024,170,678,009
Step by Step Solution
- Step 1: Write the proportion equation
12,682,780,452,006 : 19,024,170,678,009 = 12,682,780,452,006 : x - Step 2: Convert to fraction form
12,682,780,452,006/19,024,170,678,009 = 12,682,780,452,006/x - Step 3: Cross multiply
12,682,780,452,006x = 19,024,170,678,009 × 12,682,780,452,006 - Step 4: Simplify right side
12,682,780,452,006x = 241,279,379,990,678,277,441,191,936 - Step 5: Solve for x
x = 241,279,379,990,678,277,441,191,936/12,682,780,452,006 - Step 6: Final answer
x = 19,024,170,678,009
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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.