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Finding the Fourth Proportional to 294,992,072.70, 442,488,109.05 and 294,992,072.70

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Solution

The fourth proportional to 294,992,072.70, 442,488,109.05 and 294,992,072.70 is: 442,488,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,992,072.70 : 442,488,109.05 = 294,992,072.70 : x
  2. Step 2: Convert to fraction form
    294,992,072.70/442,488,109.05 = 294,992,072.70/x
  3. Step 3: Cross multiply
    294,992,072.70x = 442,488,109.05 × 294,992,072.70
  4. Step 4: Simplify right side
    294,992,072.70x = 130,530,484,433,763,120
  5. Step 5: Solve for x
    x = 130,530,484,433,763,120/294,992,072.70
  6. Step 6: Final answer
    x = 442,488,109.05

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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.