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Finding the Fourth Proportional to 29,312,809,920.40, 43,969,214,880.60 and 29,312,809,920.40

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Solution

The fourth proportional to 29,312,809,920.40, 43,969,214,880.60 and 29,312,809,920.40 is: 43,969,214,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312,809,920.40 : 43,969,214,880.60 = 29,312,809,920.40 : x
  2. Step 2: Convert to fraction form
    29,312,809,920.40/43,969,214,880.60 = 29,312,809,920.40/x
  3. Step 3: Cross multiply
    29,312,809,920.40x = 43,969,214,880.60 × 29,312,809,920.40
  4. Step 4: Simplify right side
    29,312,809,920.40x = 1,288,861,238,144,250,937,344
  5. Step 5: Solve for x
    x = 1,288,861,238,144,250,937,344/29,312,809,920.40
  6. Step 6: Final answer
    x = 43,969,214,880.60

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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.