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Finding the Fourth Proportional to 54,512,587,722.80, 81,768,881,584.20 and 54,512,587,722.80

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Solution

The fourth proportional to 54,512,587,722.80, 81,768,881,584.20 and 54,512,587,722.80 is: 81,768,881,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,512,587,722.80 : 81,768,881,584.20 = 54,512,587,722.80 : x
  2. Step 2: Convert to fraction form
    54,512,587,722.80/81,768,881,584.20 = 54,512,587,722.80/x
  3. Step 3: Cross multiply
    54,512,587,722.80x = 81,768,881,584.20 × 54,512,587,722.80
  4. Step 4: Simplify right side
    54,512,587,722.80x = 4,457,433,330,353,947,803,648
  5. Step 5: Solve for x
    x = 4,457,433,330,353,947,803,648/54,512,587,722.80
  6. Step 6: Final answer
    x = 81,768,881,584.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.