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Finding the Fourth Proportional to 111,706,138,879.60, 167,559,208,319.40 and 111,706,138,879.60

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Solution

The fourth proportional to 111,706,138,879.60, 167,559,208,319.40 and 111,706,138,879.60 is: 167,559,208,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,706,138,879.60 : 167,559,208,319.40 = 111,706,138,879.60 : x
  2. Step 2: Convert to fraction form
    111,706,138,879.60/167,559,208,319.40 = 111,706,138,879.60/x
  3. Step 3: Cross multiply
    111,706,138,879.60x = 167,559,208,319.40 × 111,706,138,879.60
  4. Step 4: Simplify right side
    111,706,138,879.60x = 18,717,392,195,082,724,048,896
  5. Step 5: Solve for x
    x = 18,717,392,195,082,724,048,896/111,706,138,879.60
  6. Step 6: Final answer
    x = 167,559,208,319.40

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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.