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Finding the Fourth Proportional to 475,470,945.40, 664,298,834.60 and 475,470,945.40

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Solution

The fourth proportional to 475,470,945.40, 664,298,834.60 and 475,470,945.40 is: 664,298,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,470,945.40 : 664,298,834.60 = 475,470,945.40 : x
  2. Step 2: Convert to fraction form
    475,470,945.40/664,298,834.60 = 475,470,945.40/x
  3. Step 3: Cross multiply
    475,470,945.40x = 664,298,834.60 × 475,470,945.40
  4. Step 4: Simplify right side
    475,470,945.40x = 315,854,794,915,380,224
  5. Step 5: Solve for x
    x = 315,854,794,915,380,224/475,470,945.40
  6. Step 6: Final answer
    x = 664,298,834.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.