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Finding the Fourth Proportional to 7,459,638,861,750.30, 11,189,458,292,626 and 7,459,638,861,750.30

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Solution

The fourth proportional to 7,459,638,861,750.30, 11,189,458,292,626 and 7,459,638,861,750.30 is: 11,189,458,292,626

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459,638,861,750.30 : 11,189,458,292,626 = 7,459,638,861,750.30 : x
  2. Step 2: Convert to fraction form
    7,459,638,861,750.30/11,189,458,292,626 = 7,459,638,861,750.30/x
  3. Step 3: Cross multiply
    7,459,638,861,750.30x = 11,189,458,292,626 × 7,459,638,861,750.30
  4. Step 4: Simplify right side
    7,459,638,861,750.30x = 83,469,317,921,607,062,973,841,408
  5. Step 5: Solve for x
    x = 83,469,317,921,607,062,973,841,408/7,459,638,861,750.30
  6. Step 6: Final answer
    x = 11,189,458,292,626

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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.