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Finding the Fourth Proportional to 890,496,106.20, 1,244,146,509 and 890,496,106.20

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Solution

The fourth proportional to 890,496,106.20, 1,244,146,509 and 890,496,106.20 is: 1,244,146,509

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,496,106.20 : 1,244,146,509 = 890,496,106.20 : x
  2. Step 2: Convert to fraction form
    890,496,106.20/1,244,146,509 = 890,496,106.20/x
  3. Step 3: Cross multiply
    890,496,106.20x = 1,244,146,509 × 890,496,106.20
  4. Step 4: Simplify right side
    890,496,106.20x = 1,107,907,621,806,823,296
  5. Step 5: Solve for x
    x = 1,107,907,621,806,823,296/890,496,106.20
  6. Step 6: Final answer
    x = 1,244,146,509

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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.