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Finding the Fourth Proportional to 619,381,545,905.80, 929,072,318,858.70 and 619,381,545,905.80

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Solution

The fourth proportional to 619,381,545,905.80, 929,072,318,858.70 and 619,381,545,905.80 is: 929,072,318,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,381,545,905.80 : 929,072,318,858.70 = 619,381,545,905.80 : x
  2. Step 2: Convert to fraction form
    619,381,545,905.80/929,072,318,858.70 = 619,381,545,905.80/x
  3. Step 3: Cross multiply
    619,381,545,905.80x = 929,072,318,858.70 × 619,381,545,905.80
  4. Step 4: Simplify right side
    619,381,545,905.80x = 575,450,249,112,987,969,257,472
  5. Step 5: Solve for x
    x = 575,450,249,112,987,969,257,472/619,381,545,905.80
  6. Step 6: Final answer
    x = 929,072,318,858.70

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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.