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Finding the Fourth Proportional to 2,864,183,077,749.20, 4,296,274,616,623.80 and 2,864,183,077,749.20

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Solution

The fourth proportional to 2,864,183,077,749.20, 4,296,274,616,623.80 and 2,864,183,077,749.20 is: 4,296,274,616,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,183,077,749.20 : 4,296,274,616,623.80 = 2,864,183,077,749.20 : x
  2. Step 2: Convert to fraction form
    2,864,183,077,749.20/4,296,274,616,623.80 = 2,864,183,077,749.20/x
  3. Step 3: Cross multiply
    2,864,183,077,749.20x = 4,296,274,616,623.80 × 2,864,183,077,749.20
  4. Step 4: Simplify right side
    2,864,183,077,749.20x = 12,305,317,054,297,319,894,155,264
  5. Step 5: Solve for x
    x = 12,305,317,054,297,319,894,155,264/2,864,183,077,749.20
  6. Step 6: Final answer
    x = 4,296,274,616,623.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.