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Finding the Fourth Proportional to 475,471,206.90, 664,299,200.70 and 475,471,206.90

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Solution

The fourth proportional to 475,471,206.90, 664,299,200.70 and 475,471,206.90 is: 664,299,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,471,206.90 : 664,299,200.70 = 475,471,206.90 : x
  2. Step 2: Convert to fraction form
    475,471,206.90/664,299,200.70 = 475,471,206.90/x
  3. Step 3: Cross multiply
    475,471,206.90x = 664,299,200.70 × 475,471,206.90
  4. Step 4: Simplify right side
    475,471,206.90x = 315,855,142,699,534,336
  5. Step 5: Solve for x
    x = 315,855,142,699,534,336/475,471,206.90
  6. Step 6: Final answer
    x = 664,299,200.70

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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.