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Finding the Fourth Proportional to 435,664,228.30, 611,460,469.70 and 435,664,228.30

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Solution

The fourth proportional to 435,664,228.30, 611,460,469.70 and 435,664,228.30 is: 611,460,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,664,228.30 : 611,460,469.70 = 435,664,228.30 : x
  2. Step 2: Convert to fraction form
    435,664,228.30/611,460,469.70 = 435,664,228.30/x
  3. Step 3: Cross multiply
    435,664,228.30x = 611,460,469.70 × 435,664,228.30
  4. Step 4: Simplify right side
    435,664,228.30x = 266,391,453,667,806,048
  5. Step 5: Solve for x
    x = 266,391,453,667,806,048/435,664,228.30
  6. Step 6: Final answer
    x = 611,460,469.70

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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.