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Finding the Fourth Proportional to 470,496,660.80, 659,375,569.60 and 470,496,660.80

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Solution

The fourth proportional to 470,496,660.80, 659,375,569.60 and 470,496,660.80 is: 659,375,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,496,660.80 : 659,375,569.60 = 470,496,660.80 : x
  2. Step 2: Convert to fraction form
    470,496,660.80/659,375,569.60 = 470,496,660.80/x
  3. Step 3: Cross multiply
    470,496,660.80x = 659,375,569.60 × 470,496,660.80
  4. Step 4: Simplify right side
    470,496,660.80x = 310,234,003,709,897,984
  5. Step 5: Solve for x
    x = 310,234,003,709,897,984/470,496,660.80
  6. Step 6: Final answer
    x = 659,375,569.60

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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.