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Finding the Fourth Proportional to 330,024,861,206.20, 495,037,291,809.30 and 330,024,861,206.20

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Solution

The fourth proportional to 330,024,861,206.20, 495,037,291,809.30 and 330,024,861,206.20 is: 495,037,291,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,024,861,206.20 : 495,037,291,809.30 = 330,024,861,206.20 : x
  2. Step 2: Convert to fraction form
    330,024,861,206.20/495,037,291,809.30 = 330,024,861,206.20/x
  3. Step 3: Cross multiply
    330,024,861,206.20x = 495,037,291,809.30 × 330,024,861,206.20
  4. Step 4: Simplify right side
    330,024,861,206.20x = 163,374,613,521,257,375,727,616
  5. Step 5: Solve for x
    x = 163,374,613,521,257,375,727,616/330,024,861,206.20
  6. Step 6: Final answer
    x = 495,037,291,809.30

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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.