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Finding the Fourth Proportional to 330,025,963,204.20, 495,038,944,806.30 and 330,025,963,204.20

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Solution

The fourth proportional to 330,025,963,204.20, 495,038,944,806.30 and 330,025,963,204.20 is: 495,038,944,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,025,963,204.20 : 495,038,944,806.30 = 330,025,963,204.20 : x
  2. Step 2: Convert to fraction form
    330,025,963,204.20/495,038,944,806.30 = 330,025,963,204.20/x
  3. Step 3: Cross multiply
    330,025,963,204.20x = 495,038,944,806.30 × 330,025,963,204.20
  4. Step 4: Simplify right side
    330,025,963,204.20x = 163,375,704,583,289,958,301,696
  5. Step 5: Solve for x
    x = 163,375,704,583,289,958,301,696/330,025,963,204.20
  6. Step 6: Final answer
    x = 495,038,944,806.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.