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Finding the Fourth Proportional to 12,240,546,082.65, 17,169,416,250.75 and 12,240,546,082.65

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Solution

The fourth proportional to 12,240,546,082.65, 17,169,416,250.75 and 12,240,546,082.65 is: 17,169,416,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,240,546,082.65 : 17,169,416,250.75 = 12,240,546,082.65 : x
  2. Step 2: Convert to fraction form
    12,240,546,082.65/17,169,416,250.75 = 12,240,546,082.65/x
  3. Step 3: Cross multiply
    12,240,546,082.65x = 17,169,416,250.75 × 12,240,546,082.65
  4. Step 4: Simplify right side
    12,240,546,082.65x = 210,163,030,829,505,150,976
  5. Step 5: Solve for x
    x = 210,163,030,829,505,150,976/12,240,546,082.65
  6. Step 6: Final answer
    x = 17,169,416,250.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.