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Finding the Fourth Proportional to 962,288,974.64, 1,327,959,328.74 and 522,255,826.64

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Solution

The fourth proportional to 962,288,974.64, 1,327,959,328.74 and 522,255,826.64 is: 720,713,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,288,974.64 : 1,327,959,328.74 = 522,255,826.64 : x
  2. Step 2: Convert to fraction form
    962,288,974.64/1,327,959,328.74 = 522,255,826.64/x
  3. Step 3: Cross multiply
    962,288,974.64x = 1,327,959,328.74 × 522,255,826.64
  4. Step 4: Simplify right side
    962,288,974.64x = 693,534,496,975,408,256
  5. Step 5: Solve for x
    x = 693,534,496,975,408,256/962,288,974.64
  6. Step 6: Final answer
    x = 720,713,335.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.