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Finding the Fourth Proportional to 521,552,003.40, 782,328,005.10 and 521,552,003.40

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Solution

The fourth proportional to 521,552,003.40, 782,328,005.10 and 521,552,003.40 is: 782,328,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,552,003.40 : 782,328,005.10 = 521,552,003.40 : x
  2. Step 2: Convert to fraction form
    521,552,003.40/782,328,005.10 = 521,552,003.40/x
  3. Step 3: Cross multiply
    521,552,003.40x = 782,328,005.10 × 521,552,003.40
  4. Step 4: Simplify right side
    521,552,003.40x = 408,024,738,375,830,400
  5. Step 5: Solve for x
    x = 408,024,738,375,830,400/521,552,003.40
  6. Step 6: Final answer
    x = 782,328,005.10

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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.