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Finding the Fourth Proportional to 33,564,697,785.60, 50,250,300,796.80 and 33,564,697,785.60

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Solution

The fourth proportional to 33,564,697,785.60, 50,250,300,796.80 and 33,564,697,785.60 is: 50,250,300,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564,697,785.60 : 50,250,300,796.80 = 33,564,697,785.60 : x
  2. Step 2: Convert to fraction form
    33,564,697,785.60/50,250,300,796.80 = 33,564,697,785.60/x
  3. Step 3: Cross multiply
    33,564,697,785.60x = 50,250,300,796.80 × 33,564,697,785.60
  4. Step 4: Simplify right side
    33,564,697,785.60x = 1,686,636,159,880,086,945,792
  5. Step 5: Solve for x
    x = 1,686,636,159,880,086,945,792/33,564,697,785.60
  6. Step 6: Final answer
    x = 50,250,300,796.80

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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.