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Finding the Fourth Proportional to 30,647,352,605.40, 45,971,028,908.10 and 30,647,352,605.40

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Solution

The fourth proportional to 30,647,352,605.40, 45,971,028,908.10 and 30,647,352,605.40 is: 45,971,028,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647,352,605.40 : 45,971,028,908.10 = 30,647,352,605.40 : x
  2. Step 2: Convert to fraction form
    30,647,352,605.40/45,971,028,908.10 = 30,647,352,605.40/x
  3. Step 3: Cross multiply
    30,647,352,605.40x = 45,971,028,908.10 × 30,647,352,605.40
  4. Step 4: Simplify right side
    30,647,352,605.40x = 1,408,890,332,579,577,200,640
  5. Step 5: Solve for x
    x = 1,408,890,332,579,577,200,640/30,647,352,605.40
  6. Step 6: Final answer
    x = 45,971,028,908.10

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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.