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Finding the Fourth Proportional to 12,752,414,496,600, 19,128,621,744,901 and 12,752,414,496,600

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Solution

The fourth proportional to 12,752,414,496,600, 19,128,621,744,901 and 12,752,414,496,600 is: 19,128,621,744,901

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,496,600 : 19,128,621,744,901 = 12,752,414,496,600 : x
  2. Step 2: Convert to fraction form
    12,752,414,496,600/19,128,621,744,901 = 12,752,414,496,600/x
  3. Step 3: Cross multiply
    12,752,414,496,600x = 19,128,621,744,901 × 12,752,414,496,600
  4. Step 4: Simplify right side
    12,752,414,496,600x = 243,936,113,239,653,494,231,662,592
  5. Step 5: Solve for x
    x = 243,936,113,239,653,494,231,662,592/12,752,414,496,600
  6. Step 6: Final answer
    x = 19,128,621,744,901

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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.