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Finding the Fourth Proportional to 192,783,751.60, 289,173,784.20 and 47,217,953.20

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Solution

The fourth proportional to 192,783,751.60, 289,173,784.20 and 47,217,953.20 is: 70,826,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,783,751.60 : 289,173,784.20 = 47,217,953.20 : x
  2. Step 2: Convert to fraction form
    192,783,751.60/289,173,784.20 = 47,217,953.20/x
  3. Step 3: Cross multiply
    192,783,751.60x = 289,173,784.20 × 47,217,953.20
  4. Step 4: Simplify right side
    192,783,751.60x = 13,654,194,209,022,500
  5. Step 5: Solve for x
    x = 13,654,194,209,022,500/192,783,751.60
  6. Step 6: Final answer
    x = 70,826,478.35

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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.