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Finding the Fourth Proportional to 285,210,008.20, 427,815,012.30 and 285,210,008.20

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Solution

The fourth proportional to 285,210,008.20, 427,815,012.30 and 285,210,008.20 is: 427,815,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,210,008.20 : 427,815,012.30 = 285,210,008.20 : x
  2. Step 2: Convert to fraction form
    285,210,008.20/427,815,012.30 = 285,210,008.20/x
  3. Step 3: Cross multiply
    285,210,008.20x = 427,815,012.30 × 285,210,008.20
  4. Step 4: Simplify right side
    285,210,008.20x = 122,017,123,166,166,096
  5. Step 5: Solve for x
    x = 122,017,123,166,166,096/285,210,008.20
  6. Step 6: Final answer
    x = 427,815,012.30

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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.