Home / 209,751,974,923.32-314,492,687,601.84-82,279,546,742.16

Finding the Fourth Proportional to 209,751,974,923.32, 314,492,687,601.84 and 82,279,546,742.16

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Solution

The fourth proportional to 209,751,974,923.32, 314,492,687,601.84 and 82,279,546,742.16 is: 123,366,255,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,751,974,923.32 : 314,492,687,601.84 = 82,279,546,742.16 : x
  2. Step 2: Convert to fraction form
    209,751,974,923.32/314,492,687,601.84 = 82,279,546,742.16/x
  3. Step 3: Cross multiply
    209,751,974,923.32x = 314,492,687,601.84 × 82,279,546,742.16
  4. Step 4: Simplify right side
    209,751,974,923.32x = 25,876,315,789,603,119,300,608
  5. Step 5: Solve for x
    x = 25,876,315,789,603,119,300,608/209,751,974,923.32
  6. Step 6: Final answer
    x = 123,366,255,784.07

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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.