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Finding the Fourth Proportional to 330,025,963,233.20, 495,038,944,849.80 and 330,025,963,233.20

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Solution

The fourth proportional to 330,025,963,233.20, 495,038,944,849.80 and 330,025,963,233.20 is: 495,038,944,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,025,963,233.20 : 495,038,944,849.80 = 330,025,963,233.20 : x
  2. Step 2: Convert to fraction form
    330,025,963,233.20/495,038,944,849.80 = 330,025,963,233.20/x
  3. Step 3: Cross multiply
    330,025,963,233.20x = 495,038,944,849.80 × 330,025,963,233.20
  4. Step 4: Simplify right side
    330,025,963,233.20x = 163,375,704,612,002,217,328,640
  5. Step 5: Solve for x
    x = 163,375,704,612,002,217,328,640/330,025,963,233.20
  6. Step 6: Final answer
    x = 495,038,944,849.80

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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.