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Finding the Fourth Proportional to 619,381,308,979.80, 929,071,963,469.70 and 619,381,308,979.80

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Solution

The fourth proportional to 619,381,308,979.80, 929,071,963,469.70 and 619,381,308,979.80 is: 929,071,963,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,381,308,979.80 : 929,071,963,469.70 = 619,381,308,979.80 : x
  2. Step 2: Convert to fraction form
    619,381,308,979.80/929,071,963,469.70 = 619,381,308,979.80/x
  3. Step 3: Cross multiply
    619,381,308,979.80x = 929,071,963,469.70 × 619,381,308,979.80
  4. Step 4: Simplify right side
    619,381,308,979.80x = 575,449,808,870,295,761,584,128
  5. Step 5: Solve for x
    x = 575,449,808,870,295,761,584,128/619,381,308,979.80
  6. Step 6: Final answer
    x = 929,071,963,469.70

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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.