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Finding the Fourth Proportional to 12,682,780,452,008, 19,024,170,678,014 and 12,682,780,452,008

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Solution

The fourth proportional to 12,682,780,452,008, 19,024,170,678,014 and 12,682,780,452,008 is: 19,024,170,678,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682,780,452,008 : 19,024,170,678,014 = 12,682,780,452,008 : x
  2. Step 2: Convert to fraction form
    12,682,780,452,008/19,024,170,678,014 = 12,682,780,452,008/x
  3. Step 3: Cross multiply
    12,682,780,452,008x = 19,024,170,678,014 × 12,682,780,452,008
  4. Step 4: Simplify right side
    12,682,780,452,008x = 241,279,379,990,779,741,748,592,640
  5. Step 5: Solve for x
    x = 241,279,379,990,779,741,748,592,640/12,682,780,452,008
  6. Step 6: Final answer
    x = 19,024,170,678,014

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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.