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Finding the Fourth Proportional to 288,735,283.20, 433,102,924.80 and 220,710,835.20

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Solution

The fourth proportional to 288,735,283.20, 433,102,924.80 and 220,710,835.20 is: 331,066,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,735,283.20 : 433,102,924.80 = 220,710,835.20 : x
  2. Step 2: Convert to fraction form
    288,735,283.20/433,102,924.80 = 220,710,835.20/x
  3. Step 3: Cross multiply
    288,735,283.20x = 433,102,924.80 × 220,710,835.20
  4. Step 4: Simplify right side
    288,735,283.20x = 95,590,508,260,170,784
  5. Step 5: Solve for x
    x = 95,590,508,260,170,784/288,735,283.20
  6. Step 6: Final answer
    x = 331,066,252.80

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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.