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Finding the Fourth Proportional to 106,308,110.40, 149,234,462.40 and 106,308,110.40

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Solution

The fourth proportional to 106,308,110.40, 149,234,462.40 and 106,308,110.40 is: 149,234,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,308,110.40 : 149,234,462.40 = 106,308,110.40 : x
  2. Step 2: Convert to fraction form
    106,308,110.40/149,234,462.40 = 106,308,110.40/x
  3. Step 3: Cross multiply
    106,308,110.40x = 149,234,462.40 × 106,308,110.40
  4. Step 4: Simplify right side
    106,308,110.40x = 15,864,833,704,303,850
  5. Step 5: Solve for x
    x = 15,864,833,704,303,850/106,308,110.40
  6. Step 6: Final answer
    x = 149,234,462.40

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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.