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Finding the Fourth Proportional to 285,432,900.30, 400,412,276.10 and 285,432,900.30

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Solution

The fourth proportional to 285,432,900.30, 400,412,276.10 and 285,432,900.30 is: 400,412,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,432,900.30 : 400,412,276.10 = 285,432,900.30 : x
  2. Step 2: Convert to fraction form
    285,432,900.30/400,412,276.10 = 285,432,900.30/x
  3. Step 3: Cross multiply
    285,432,900.30x = 400,412,276.10 × 285,432,900.30
  4. Step 4: Simplify right side
    285,432,900.30x = 114,290,837,282,947,392
  5. Step 5: Solve for x
    x = 114,290,837,282,947,392/285,432,900.30
  6. Step 6: Final answer
    x = 400,412,276.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.