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Finding the Fourth Proportional to 13,266,219,483,041, 19,899,329,224,562 and 13,266,219,483,041

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Solution

The fourth proportional to 13,266,219,483,041, 19,899,329,224,562 and 13,266,219,483,041 is: 19,899,329,224,562

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266,219,483,041 : 19,899,329,224,562 = 13,266,219,483,041 : x
  2. Step 2: Convert to fraction form
    13,266,219,483,041/19,899,329,224,562 = 13,266,219,483,041/x
  3. Step 3: Cross multiply
    13,266,219,483,041x = 19,899,329,224,562 × 13,266,219,483,041
  4. Step 4: Simplify right side
    13,266,219,483,041x = 263,988,869,058,331,570,872,516,608
  5. Step 5: Solve for x
    x = 263,988,869,058,331,570,872,516,608/13,266,219,483,041
  6. Step 6: Final answer
    x = 19,899,329,224,562

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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.