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Finding the Fourth Proportional to 133,097,447.65, 199,646,171.48 and 133,097,447.65

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Solution

The fourth proportional to 133,097,447.65, 199,646,171.48 and 133,097,447.65 is: 199,646,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097,447.65 : 199,646,171.48 = 133,097,447.65 : x
  2. Step 2: Convert to fraction form
    133,097,447.65/199,646,171.48 = 133,097,447.65/x
  3. Step 3: Cross multiply
    133,097,447.65x = 199,646,171.48 × 133,097,447.65
  4. Step 4: Simplify right side
    133,097,447.65x = 26,572,395,857,082,224
  5. Step 5: Solve for x
    x = 26,572,395,857,082,224/133,097,447.65
  6. Step 6: Final answer
    x = 199,646,171.48

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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.