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Finding the Fourth Proportional to 12,752,414,658,082, 19,128,621,987,122 and 12,752,414,658,082

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Solution

The fourth proportional to 12,752,414,658,082, 19,128,621,987,122 and 12,752,414,658,082 is: 19,128,621,987,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,658,082 : 19,128,621,987,122 = 12,752,414,658,082 : x
  2. Step 2: Convert to fraction form
    12,752,414,658,082/19,128,621,987,122 = 12,752,414,658,082/x
  3. Step 3: Cross multiply
    12,752,414,658,082x = 19,128,621,987,122 × 12,752,414,658,082
  4. Step 4: Simplify right side
    12,752,414,658,082x = 243,936,119,417,484,218,860,568,576
  5. Step 5: Solve for x
    x = 243,936,119,417,484,218,860,568,576/12,752,414,658,082
  6. Step 6: Final answer
    x = 19,128,621,987,122

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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.