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Finding the Fourth Proportional to 660,163,629.30, 988,093,107.90 and 660,163,629.30

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Solution

The fourth proportional to 660,163,629.30, 988,093,107.90 and 660,163,629.30 is: 988,093,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,163,629.30 : 988,093,107.90 = 660,163,629.30 : x
  2. Step 2: Convert to fraction form
    660,163,629.30/988,093,107.90 = 660,163,629.30/x
  3. Step 3: Cross multiply
    660,163,629.30x = 988,093,107.90 × 660,163,629.30
  4. Step 4: Simplify right side
    660,163,629.30x = 652,303,132,197,580,416
  5. Step 5: Solve for x
    x = 652,303,132,197,580,416/660,163,629.30
  6. Step 6: Final answer
    x = 988,093,107.90

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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.