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Finding the Fourth Proportional to 475,470,039.40, 664,297,566.20 and 475,470,039.40

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Solution

The fourth proportional to 475,470,039.40, 664,297,566.20 and 475,470,039.40 is: 664,297,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,470,039.40 : 664,297,566.20 = 475,470,039.40 : x
  2. Step 2: Convert to fraction form
    475,470,039.40/664,297,566.20 = 475,470,039.40/x
  3. Step 3: Cross multiply
    475,470,039.40x = 664,297,566.20 × 475,470,039.40
  4. Step 4: Simplify right side
    475,470,039.40x = 315,853,589,974,438,144
  5. Step 5: Solve for x
    x = 315,853,589,974,438,144/475,470,039.40
  6. Step 6: Final answer
    x = 664,297,566.20

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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.