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Finding the Fourth Proportional to 13,188,894.30, 19,783,341.45 and 13,188,894.30

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Solution

The fourth proportional to 13,188,894.30, 19,783,341.45 and 13,188,894.30 is: 19,783,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188,894.30 : 19,783,341.45 = 13,188,894.30 : x
  2. Step 2: Convert to fraction form
    13,188,894.30/19,783,341.45 = 13,188,894.30/x
  3. Step 3: Cross multiply
    13,188,894.30x = 19,783,341.45 × 13,188,894.30
  4. Step 4: Simplify right side
    13,188,894.30x = 260,920,399,284,858.75
  5. Step 5: Solve for x
    x = 260,920,399,284,858.75/13,188,894.30
  6. Step 6: Final answer
    x = 19,783,341.45

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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.