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Finding the Fourth Proportional to 109,032,509,568.45, 163,548,764,352.67 and 109,032,509,568.45

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Solution

The fourth proportional to 109,032,509,568.45, 163,548,764,352.67 and 109,032,509,568.45 is: 163,548,764,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,032,509,568.45 : 163,548,764,352.67 = 109,032,509,568.45 : x
  2. Step 2: Convert to fraction form
    109,032,509,568.45/163,548,764,352.67 = 109,032,509,568.45/x
  3. Step 3: Cross multiply
    109,032,509,568.45x = 163,548,764,352.67 × 109,032,509,568.45
  4. Step 4: Simplify right side
    109,032,509,568.45x = 17,832,132,214,190,667,464,704
  5. Step 5: Solve for x
    x = 17,832,132,214,190,667,464,704/109,032,509,568.45
  6. Step 6: Final answer
    x = 163,548,764,352.67

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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.