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Finding the Fourth Proportional to 133,056,019.65, 199,584,029.48 and 133,056,019.65

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Solution

The fourth proportional to 133,056,019.65, 199,584,029.48 and 133,056,019.65 is: 199,584,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,056,019.65 : 199,584,029.48 = 133,056,019.65 : x
  2. Step 2: Convert to fraction form
    133,056,019.65/199,584,029.48 = 133,056,019.65/x
  3. Step 3: Cross multiply
    133,056,019.65x = 199,584,029.48 × 133,056,019.65
  4. Step 4: Simplify right side
    133,056,019.65x = 26,555,856,547,651,780
  5. Step 5: Solve for x
    x = 26,555,856,547,651,780/133,056,019.65
  6. Step 6: Final answer
    x = 199,584,029.48

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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.