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Finding the Fourth Proportional to 408,070,857.70, 572,508,524.30 and 408,070,857.70

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Solution

The fourth proportional to 408,070,857.70, 572,508,524.30 and 408,070,857.70 is: 572,508,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,070,857.70 : 572,508,524.30 = 408,070,857.70 : x
  2. Step 2: Convert to fraction form
    408,070,857.70/572,508,524.30 = 408,070,857.70/x
  3. Step 3: Cross multiply
    408,070,857.70x = 572,508,524.30 × 408,070,857.70
  4. Step 4: Simplify right side
    408,070,857.70x = 233,624,044,551,662,272
  5. Step 5: Solve for x
    x = 233,624,044,551,662,272/408,070,857.70
  6. Step 6: Final answer
    x = 572,508,524.30

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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.