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Finding the Fourth Proportional to 601,070,567,266.30, 901,605,850,899.45 and 601,070,567,266.30

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Solution

The fourth proportional to 601,070,567,266.30, 901,605,850,899.45 and 601,070,567,266.30 is: 901,605,850,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,070,567,266.30 : 901,605,850,899.45 = 601,070,567,266.30 : x
  2. Step 2: Convert to fraction form
    601,070,567,266.30/901,605,850,899.45 = 601,070,567,266.30/x
  3. Step 3: Cross multiply
    601,070,567,266.30x = 901,605,850,899.45 × 601,070,567,266.30
  4. Step 4: Simplify right side
    601,070,567,266.30x = 541,928,740,250,747,498,659,840
  5. Step 5: Solve for x
    x = 541,928,740,250,747,498,659,840/601,070,567,266.30
  6. Step 6: Final answer
    x = 901,605,850,899.45

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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.