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Finding the Fourth Proportional to 282,624,229.60, 423,936,344.40 and 282,624,229.60

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Solution

The fourth proportional to 282,624,229.60, 423,936,344.40 and 282,624,229.60 is: 423,936,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,624,229.60 : 423,936,344.40 = 282,624,229.60 : x
  2. Step 2: Convert to fraction form
    282,624,229.60/423,936,344.40 = 282,624,229.60/x
  3. Step 3: Cross multiply
    282,624,229.60x = 423,936,344.40 × 282,624,229.60
  4. Step 4: Simplify right side
    282,624,229.60x = 119,814,682,735,490,272
  5. Step 5: Solve for x
    x = 119,814,682,735,490,272/282,624,229.60
  6. Step 6: Final answer
    x = 423,936,344.40

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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.