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Finding the Fourth Proportional to 424,785,384,000.20, 637,178,076,000.40 and 424,785,384,000.20

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Solution

The fourth proportional to 424,785,384,000.20, 637,178,076,000.40 and 424,785,384,000.20 is: 637,178,076,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,785,384,000.20 : 637,178,076,000.40 = 424,785,384,000.20 : x
  2. Step 2: Convert to fraction form
    424,785,384,000.20/637,178,076,000.40 = 424,785,384,000.20/x
  3. Step 3: Cross multiply
    424,785,384,000.20x = 637,178,076,000.40 × 424,785,384,000.20
  4. Step 4: Simplify right side
    424,785,384,000.20x = 270,663,933,690,338,546,286,592
  5. Step 5: Solve for x
    x = 270,663,933,690,338,546,286,592/424,785,384,000.20
  6. Step 6: Final answer
    x = 637,178,076,000.40

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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.