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Finding the Fourth Proportional to 13,196,572,326,004, 19,794,858,489,006 and 13,196,572,326,004

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Solution

The fourth proportional to 13,196,572,326,004, 19,794,858,489,006 and 13,196,572,326,004 is: 19,794,858,489,006

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196,572,326,004 : 19,794,858,489,006 = 13,196,572,326,004 : x
  2. Step 2: Convert to fraction form
    13,196,572,326,004/19,794,858,489,006 = 13,196,572,326,004/x
  3. Step 3: Cross multiply
    13,196,572,326,004x = 19,794,858,489,006 × 13,196,572,326,004
  4. Step 4: Simplify right side
    13,196,572,326,004x = 261,224,281,733,181,932,765,708,288
  5. Step 5: Solve for x
    x = 261,224,281,733,181,932,765,708,288/13,196,572,326,004
  6. Step 6: Final answer
    x = 19,794,858,489,006

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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.