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Finding the Fourth Proportional to 465,794,334.30, 697,347,808.65 and 465,794,334.30

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Solution

The fourth proportional to 465,794,334.30, 697,347,808.65 and 465,794,334.30 is: 697,347,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,794,334.30 : 697,347,808.65 = 465,794,334.30 : x
  2. Step 2: Convert to fraction form
    465,794,334.30/697,347,808.65 = 465,794,334.30/x
  3. Step 3: Cross multiply
    465,794,334.30x = 697,347,808.65 × 465,794,334.30
  4. Step 4: Simplify right side
    465,794,334.30x = 324,820,658,305,690,560
  5. Step 5: Solve for x
    x = 324,820,658,305,690,560/465,794,334.30
  6. Step 6: Final answer
    x = 697,347,808.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.