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Finding the Fourth Proportional to 3,265,179,936,580.80, 4,888,953,936,410.40 and 3,265,179,936,580.80

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Solution

The fourth proportional to 3,265,179,936,580.80, 4,888,953,936,410.40 and 3,265,179,936,580.80 is: 4,888,953,936,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265,179,936,580.80 : 4,888,953,936,410.40 = 3,265,179,936,580.80 : x
  2. Step 2: Convert to fraction form
    3,265,179,936,580.80/4,888,953,936,410.40 = 3,265,179,936,580.80/x
  3. Step 3: Cross multiply
    3,265,179,936,580.80x = 4,888,953,936,410.40 × 3,265,179,936,580.80
  4. Step 4: Simplify right side
    3,265,179,936,580.80x = 15,963,314,304,034,963,730,726,912
  5. Step 5: Solve for x
    x = 15,963,314,304,034,963,730,726,912/3,265,179,936,580.80
  6. Step 6: Final answer
    x = 4,888,953,936,410.40

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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.