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Finding the Fourth Proportional to 1,616,540,617.05, 2,424,810,925.58 and 1,616,540,617.05

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Solution

The fourth proportional to 1,616,540,617.05, 2,424,810,925.58 and 1,616,540,617.05 is: 2,424,810,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,540,617.05 : 2,424,810,925.58 = 1,616,540,617.05 : x
  2. Step 2: Convert to fraction form
    1,616,540,617.05/2,424,810,925.58 = 1,616,540,617.05/x
  3. Step 3: Cross multiply
    1,616,540,617.05x = 2,424,810,925.58 × 1,616,540,617.05
  4. Step 4: Simplify right side
    1,616,540,617.05x = 3,919,805,349,858,591,744
  5. Step 5: Solve for x
    x = 3,919,805,349,858,591,744/1,616,540,617.05
  6. Step 6: Final answer
    x = 2,424,810,925.58

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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.