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Finding the Fourth Proportional to 111,985,856.40, 167,978,784.60 and 31,206,824.40

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Solution

The fourth proportional to 111,985,856.40, 167,978,784.60 and 31,206,824.40 is: 46,810,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,985,856.40 : 167,978,784.60 = 31,206,824.40 : x
  2. Step 2: Convert to fraction form
    111,985,856.40/167,978,784.60 = 31,206,824.40/x
  3. Step 3: Cross multiply
    111,985,856.40x = 167,978,784.60 × 31,206,824.40
  4. Step 4: Simplify right side
    111,985,856.40x = 5,242,084,433,937,624
  5. Step 5: Solve for x
    x = 5,242,084,433,937,624/111,985,856.40
  6. Step 6: Final answer
    x = 46,810,236.60

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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.