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Finding the Fourth Proportional to 483,003,013.80, 724,504,520.70 and 483,003,013.80

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Solution

The fourth proportional to 483,003,013.80, 724,504,520.70 and 483,003,013.80 is: 724,504,520.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,003,013.80 : 724,504,520.70 = 483,003,013.80 : x
  2. Step 2: Convert to fraction form
    483,003,013.80/724,504,520.70 = 483,003,013.80/x
  3. Step 3: Cross multiply
    483,003,013.80x = 724,504,520.70 × 483,003,013.80
  4. Step 4: Simplify right side
    483,003,013.80x = 349,937,867,009,824,512
  5. Step 5: Solve for x
    x = 349,937,867,009,824,512/483,003,013.80
  6. Step 6: Final answer
    x = 724,504,520.70

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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.