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Finding the Fourth Proportional to 201,217,999.90, 301,826,999.85 and 160,907,215.90

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Solution

The fourth proportional to 201,217,999.90, 301,826,999.85 and 160,907,215.90 is: 241,360,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,217,999.90 : 301,826,999.85 = 160,907,215.90 : x
  2. Step 2: Convert to fraction form
    201,217,999.90/301,826,999.85 = 160,907,215.90/x
  3. Step 3: Cross multiply
    201,217,999.90x = 301,826,999.85 × 160,907,215.90
  4. Step 4: Simplify right side
    201,217,999.90x = 48,566,142,229,313,224
  5. Step 5: Solve for x
    x = 48,566,142,229,313,224/201,217,999.90
  6. Step 6: Final answer
    x = 241,360,823.85

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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.