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Finding the Fourth Proportional to 106,308,200.90, 149,234,589.10 and 106,308,200.90

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Solution

The fourth proportional to 106,308,200.90, 149,234,589.10 and 106,308,200.90 is: 149,234,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308,200.90 : 149,234,589.10 = 106,308,200.90 : x
  2. Step 2: Convert to fraction form
    106,308,200.90/149,234,589.10 = 106,308,200.90/x
  3. Step 3: Cross multiply
    106,308,200.90x = 149,234,589.10 × 106,308,200.90
  4. Step 4: Simplify right side
    106,308,200.90x = 15,864,860,679,271,750
  5. Step 5: Solve for x
    x = 15,864,860,679,271,750/106,308,200.90
  6. Step 6: Final answer
    x = 149,234,589.10

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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.