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Finding the Fourth Proportional to 279,657,886,500.20, 419,486,829,750.22 and 279,657,886,500.20

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Solution

The fourth proportional to 279,657,886,500.20, 419,486,829,750.22 and 279,657,886,500.20 is: 419,486,829,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,657,886,500.20 : 419,486,829,750.22 = 279,657,886,500.20 : x
  2. Step 2: Convert to fraction form
    279,657,886,500.20/419,486,829,750.22 = 279,657,886,500.20/x
  3. Step 3: Cross multiply
    279,657,886,500.20x = 419,486,829,750.22 × 279,657,886,500.20
  4. Step 4: Simplify right side
    279,657,886,500.20x = 117,312,800,222,615,749,787,648
  5. Step 5: Solve for x
    x = 117,312,800,222,615,749,787,648/279,657,886,500.20
  6. Step 6: Final answer
    x = 419,486,829,750.22

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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.