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Finding the Fourth Proportional to 12,752,414,496,064, 19,128,621,744,096 and 12,752,414,496,064

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Solution

The fourth proportional to 12,752,414,496,064, 19,128,621,744,096 and 12,752,414,496,064 is: 19,128,621,744,096

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,496,064 : 19,128,621,744,096 = 12,752,414,496,064 : x
  2. Step 2: Convert to fraction form
    12,752,414,496,064/19,128,621,744,096 = 12,752,414,496,064/x
  3. Step 3: Cross multiply
    12,752,414,496,064x = 19,128,621,744,096 × 12,752,414,496,064
  4. Step 4: Simplify right side
    12,752,414,496,064x = 243,936,113,219,134,854,910,705,664
  5. Step 5: Solve for x
    x = 243,936,113,219,134,854,910,705,664/12,752,414,496,064
  6. Step 6: Final answer
    x = 19,128,621,744,096

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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.