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Finding the Fourth Proportional to 420,823,770,600.60, 631,235,655,900.90 and 420,823,770,600.60

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Solution

The fourth proportional to 420,823,770,600.60, 631,235,655,900.90 and 420,823,770,600.60 is: 631,235,655,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,823,770,600.60 : 631,235,655,900.90 = 420,823,770,600.60 : x
  2. Step 2: Convert to fraction form
    420,823,770,600.60/631,235,655,900.90 = 420,823,770,600.60/x
  3. Step 3: Cross multiply
    420,823,770,600.60x = 631,235,655,900.90 × 420,823,770,600.60
  4. Step 4: Simplify right side
    420,823,770,600.60x = 265,638,968,853,759,615,041,536
  5. Step 5: Solve for x
    x = 265,638,968,853,759,615,041,536/420,823,770,600.60
  6. Step 6: Final answer
    x = 631,235,655,900.90

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1.5x scale

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.