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Finding the Fourth Proportional to 601,070,567,276.75, 901,605,850,915.20 and 601,070,567,276.75

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Solution

The fourth proportional to 601,070,567,276.75, 901,605,850,915.20 and 601,070,567,276.75 is: 901,605,850,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,070,567,276.75 : 901,605,850,915.20 = 601,070,567,276.75 : x
  2. Step 2: Convert to fraction form
    601,070,567,276.75/901,605,850,915.20 = 601,070,567,276.75/x
  3. Step 3: Cross multiply
    601,070,567,276.75x = 901,605,850,915.20 × 601,070,567,276.75
  4. Step 4: Simplify right side
    601,070,567,276.75x = 541,928,740,269,636,093,739,008
  5. Step 5: Solve for x
    x = 541,928,740,269,636,093,739,008/601,070,567,276.75
  6. Step 6: Final answer
    x = 901,605,850,915.20

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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.