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Finding the Fourth Proportional to 12,682,780,452,030, 19,024,170,678,060 and 12,682,780,452,030

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Solution

The fourth proportional to 12,682,780,452,030, 19,024,170,678,060 and 12,682,780,452,030 is: 19,024,170,678,060

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682,780,452,030 : 19,024,170,678,060 = 12,682,780,452,030 : x
  2. Step 2: Convert to fraction form
    12,682,780,452,030/19,024,170,678,060 = 12,682,780,452,030/x
  3. Step 3: Cross multiply
    12,682,780,452,030x = 19,024,170,678,060 × 12,682,780,452,030
  4. Step 4: Simplify right side
    12,682,780,452,030x = 241,279,379,991,781,671,719,403,520
  5. Step 5: Solve for x
    x = 241,279,379,991,781,671,719,403,520/12,682,780,452,030
  6. Step 6: Final answer
    x = 19,024,170,678,060

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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.