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Finding the Fourth Proportional to 148,980,408,046.65, 223,470,612,069.97 and 148,980,408,046.65

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Solution

The fourth proportional to 148,980,408,046.65, 223,470,612,069.97 and 148,980,408,046.65 is: 223,470,612,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980,408,046.65 : 223,470,612,069.97 = 148,980,408,046.65 : x
  2. Step 2: Convert to fraction form
    148,980,408,046.65/223,470,612,069.97 = 148,980,408,046.65/x
  3. Step 3: Cross multiply
    148,980,408,046.65x = 223,470,612,069.97 × 148,980,408,046.65
  4. Step 4: Simplify right side
    148,980,408,046.65x = 33,292,742,972,618,756,325,376
  5. Step 5: Solve for x
    x = 33,292,742,972,618,756,325,376/148,980,408,046.65
  6. Step 6: Final answer
    x = 223,470,612,069.97

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1.5x scale

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.