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Finding the Fourth Proportional to 2,557,512,015.60, 3,584,144,792.40 and 2,557,512,015.60

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Solution

The fourth proportional to 2,557,512,015.60, 3,584,144,792.40 and 2,557,512,015.60 is: 3,584,144,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,512,015.60 : 3,584,144,792.40 = 2,557,512,015.60 : x
  2. Step 2: Convert to fraction form
    2,557,512,015.60/3,584,144,792.40 = 2,557,512,015.60/x
  3. Step 3: Cross multiply
    2,557,512,015.60x = 3,584,144,792.40 × 2,557,512,015.60
  4. Step 4: Simplify right side
    2,557,512,015.60x = 9,166,493,372,213,167,104
  5. Step 5: Solve for x
    x = 9,166,493,372,213,167,104/2,557,512,015.60
  6. Step 6: Final answer
    x = 3,584,144,792.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.