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Finding the Fourth Proportional to 13,266,219,155,503, 19,899,328,733,256 and 13,266,219,155,503

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Solution

The fourth proportional to 13,266,219,155,503, 19,899,328,733,256 and 13,266,219,155,503 is: 19,899,328,733,256

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266,219,155,503 : 19,899,328,733,256 = 13,266,219,155,503 : x
  2. Step 2: Convert to fraction form
    13,266,219,155,503/19,899,328,733,256 = 13,266,219,155,503/x
  3. Step 3: Cross multiply
    13,266,219,155,503x = 19,899,328,733,256 × 13,266,219,155,503
  4. Step 4: Simplify right side
    13,266,219,155,503x = 263,988,856,022,771,988,294,533,120
  5. Step 5: Solve for x
    x = 263,988,856,022,771,988,294,533,120/13,266,219,155,503
  6. Step 6: Final answer
    x = 19,899,328,733,256

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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.