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Finding the Fourth Proportional to 111,408,643,132.45, 167,112,964,698.67 and 111,408,643,132.45

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Solution

The fourth proportional to 111,408,643,132.45, 167,112,964,698.67 and 111,408,643,132.45 is: 167,112,964,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,408,643,132.45 : 167,112,964,698.67 = 111,408,643,132.45 : x
  2. Step 2: Convert to fraction form
    111,408,643,132.45/167,112,964,698.67 = 111,408,643,132.45/x
  3. Step 3: Cross multiply
    111,408,643,132.45x = 167,112,964,698.67 × 111,408,643,132.45
  4. Step 4: Simplify right side
    111,408,643,132.45x = 18,617,828,646,919,841,251,328
  5. Step 5: Solve for x
    x = 18,617,828,646,919,841,251,328/111,408,643,132.45
  6. Step 6: Final answer
    x = 167,112,964,698.67

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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.