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Finding the Fourth Proportional to 102,933,647,620.30, 154,400,471,430.45 and 102,933,647,620.30

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Solution

The fourth proportional to 102,933,647,620.30, 154,400,471,430.45 and 102,933,647,620.30 is: 154,400,471,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,933,647,620.30 : 154,400,471,430.45 = 102,933,647,620.30 : x
  2. Step 2: Convert to fraction form
    102,933,647,620.30/154,400,471,430.45 = 102,933,647,620.30/x
  3. Step 3: Cross multiply
    102,933,647,620.30x = 154,400,471,430.45 × 102,933,647,620.30
  4. Step 4: Simplify right side
    102,933,647,620.30x = 15,893,003,718,630,140,018,688
  5. Step 5: Solve for x
    x = 15,893,003,718,630,140,018,688/102,933,647,620.30
  6. Step 6: Final answer
    x = 154,400,471,430.45

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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.