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Finding the Fourth Proportional to 12,411,479,785,498, 18,617,219,678,247 and 12,411,479,785,498

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Solution

The fourth proportional to 12,411,479,785,498, 18,617,219,678,247 and 12,411,479,785,498 is: 18,617,219,678,247

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411,479,785,498 : 18,617,219,678,247 = 12,411,479,785,498 : x
  2. Step 2: Convert to fraction form
    12,411,479,785,498/18,617,219,678,247 = 12,411,479,785,498/x
  3. Step 3: Cross multiply
    12,411,479,785,498x = 18,617,219,678,247 × 12,411,479,785,498
  4. Step 4: Simplify right side
    12,411,479,785,498x = 231,067,245,698,738,210,341,912,576
  5. Step 5: Solve for x
    x = 231,067,245,698,738,210,341,912,576/12,411,479,785,498
  6. Step 6: Final answer
    x = 18,617,219,678,247

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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.