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Finding the Fourth Proportional to 3,451,193,313.40, 5,176,789,970.10 and 3,451,193,313.40

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Solution

The fourth proportional to 3,451,193,313.40, 5,176,789,970.10 and 3,451,193,313.40 is: 5,176,789,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451,193,313.40 : 5,176,789,970.10 = 3,451,193,313.40 : x
  2. Step 2: Convert to fraction form
    3,451,193,313.40/5,176,789,970.10 = 3,451,193,313.40/x
  3. Step 3: Cross multiply
    3,451,193,313.40x = 5,176,789,970.10 × 3,451,193,313.40
  4. Step 4: Simplify right side
    3,451,193,313.40x = 17,866,102,929,685,307,392
  5. Step 5: Solve for x
    x = 17,866,102,929,685,307,392/3,451,193,313.40
  6. Step 6: Final answer
    x = 5,176,789,970.10

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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.