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Finding the Fourth Proportional to 601,070,557,404.70, 901,605,836,107.05 and 601,070,557,404.70

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Solution

The fourth proportional to 601,070,557,404.70, 901,605,836,107.05 and 601,070,557,404.70 is: 901,605,836,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,070,557,404.70 : 901,605,836,107.05 = 601,070,557,404.70 : x
  2. Step 2: Convert to fraction form
    601,070,557,404.70/901,605,836,107.05 = 601,070,557,404.70/x
  3. Step 3: Cross multiply
    601,070,557,404.70x = 901,605,836,107.05 × 601,070,557,404.70
  4. Step 4: Simplify right side
    601,070,557,404.70x = 541,928,722,468,195,149,021,184
  5. Step 5: Solve for x
    x = 541,928,722,468,195,149,021,184/601,070,557,404.70
  6. Step 6: Final answer
    x = 901,605,836,107.05

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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.