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Finding the Fourth Proportional to 470,498,401.80, 659,378,007 and 470,498,401.80

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Solution

The fourth proportional to 470,498,401.80, 659,378,007 and 470,498,401.80 is: 659,378,007

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,498,401.80 : 659,378,007 = 470,498,401.80 : x
  2. Step 2: Convert to fraction form
    470,498,401.80/659,378,007 = 470,498,401.80/x
  3. Step 3: Cross multiply
    470,498,401.80x = 659,378,007 × 470,498,401.80
  4. Step 4: Simplify right side
    470,498,401.80x = 310,236,298,475,569,216
  5. Step 5: Solve for x
    x = 310,236,298,475,569,216/470,498,401.80
  6. Step 6: Final answer
    x = 659,378,007

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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.