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Finding the Fourth Proportional to 111,207,178,874.45, 166,810,768,311.67 and 111,207,178,874.45

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Solution

The fourth proportional to 111,207,178,874.45, 166,810,768,311.67 and 111,207,178,874.45 is: 166,810,768,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,207,178,874.45 : 166,810,768,311.67 = 111,207,178,874.45 : x
  2. Step 2: Convert to fraction form
    111,207,178,874.45/166,810,768,311.67 = 111,207,178,874.45/x
  3. Step 3: Cross multiply
    111,207,178,874.45x = 166,810,768,311.67 × 111,207,178,874.45
  4. Step 4: Simplify right side
    111,207,178,874.45x = 18,550,554,949,820,323,201,024
  5. Step 5: Solve for x
    x = 18,550,554,949,820,323,201,024/111,207,178,874.45
  6. Step 6: Final answer
    x = 166,810,768,311.67

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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.