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Finding the Fourth Proportional to 283,210,469.40, 424,815,704.10 and 283,210,469.40

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Solution

The fourth proportional to 283,210,469.40, 424,815,704.10 and 283,210,469.40 is: 424,815,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,210,469.40 : 424,815,704.10 = 283,210,469.40 : x
  2. Step 2: Convert to fraction form
    283,210,469.40/424,815,704.10 = 283,210,469.40/x
  3. Step 3: Cross multiply
    283,210,469.40x = 424,815,704.10 × 283,210,469.40
  4. Step 4: Simplify right side
    283,210,469.40x = 120,312,254,966,652,496
  5. Step 5: Solve for x
    x = 120,312,254,966,652,496/283,210,469.40
  6. Step 6: Final answer
    x = 424,815,704.10

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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.