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Finding the Fourth Proportional to 543,672,923.70, 815,509,385.55 and 543,672,923.70

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Solution

The fourth proportional to 543,672,923.70, 815,509,385.55 and 543,672,923.70 is: 815,509,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,672,923.70 : 815,509,385.55 = 543,672,923.70 : x
  2. Step 2: Convert to fraction form
    543,672,923.70/815,509,385.55 = 543,672,923.70/x
  3. Step 3: Cross multiply
    543,672,923.70x = 815,509,385.55 × 543,672,923.70
  4. Step 4: Simplify right side
    543,672,923.70x = 443,370,371,946,759,040
  5. Step 5: Solve for x
    x = 443,370,371,946,759,040/543,672,923.70
  6. Step 6: Final answer
    x = 815,509,385.55

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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.