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Finding the Fourth Proportional to 735,183,353.10, 1,031,839,497.60 and 735,183,353.10

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Solution

The fourth proportional to 735,183,353.10, 1,031,839,497.60 and 735,183,353.10 is: 1,031,839,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,183,353.10 : 1,031,839,497.60 = 735,183,353.10 : x
  2. Step 2: Convert to fraction form
    735,183,353.10/1,031,839,497.60 = 735,183,353.10/x
  3. Step 3: Cross multiply
    735,183,353.10x = 1,031,839,497.60 × 735,183,353.10
  4. Step 4: Simplify right side
    735,183,353.10x = 758,591,221,706,587,392
  5. Step 5: Solve for x
    x = 758,591,221,706,587,392/735,183,353.10
  6. Step 6: Final answer
    x = 1,031,839,497.60

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1.5x scale

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.