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Finding the Fourth Proportional to 330,024,861,223.28, 495,037,291,834.85 and 330,024,861,223.28

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Solution

The fourth proportional to 330,024,861,223.28, 495,037,291,834.85 and 330,024,861,223.28 is: 495,037,291,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,024,861,223.28 : 495,037,291,834.85 = 330,024,861,223.28 : x
  2. Step 2: Convert to fraction form
    330,024,861,223.28/495,037,291,834.85 = 330,024,861,223.28/x
  3. Step 3: Cross multiply
    330,024,861,223.28x = 495,037,291,834.85 × 330,024,861,223.28
  4. Step 4: Simplify right side
    330,024,861,223.28x = 163,374,613,538,144,750,927,872
  5. Step 5: Solve for x
    x = 163,374,613,538,144,750,927,872/330,024,861,223.28
  6. Step 6: Final answer
    x = 495,037,291,834.85

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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.