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Finding the Fourth Proportional to 29,312,809,969.40, 43,969,214,954.10 and 29,312,809,969.40

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Solution

The fourth proportional to 29,312,809,969.40, 43,969,214,954.10 and 29,312,809,969.40 is: 43,969,214,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312,809,969.40 : 43,969,214,954.10 = 29,312,809,969.40 : x
  2. Step 2: Convert to fraction form
    29,312,809,969.40/43,969,214,954.10 = 29,312,809,969.40/x
  3. Step 3: Cross multiply
    29,312,809,969.40x = 43,969,214,954.10 × 29,312,809,969.40
  4. Step 4: Simplify right side
    29,312,809,969.40x = 1,288,861,242,453,234,024,448
  5. Step 5: Solve for x
    x = 1,288,861,242,453,234,024,448/29,312,809,969.40
  6. Step 6: Final answer
    x = 43,969,214,954.10

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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.