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Finding the Fourth Proportional to 288,805,871.20, 433,208,806.80 and 274,697,096.80

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Solution

The fourth proportional to 288,805,871.20, 433,208,806.80 and 274,697,096.80 is: 412,045,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,805,871.20 : 433,208,806.80 = 274,697,096.80 : x
  2. Step 2: Convert to fraction form
    288,805,871.20/433,208,806.80 = 274,697,096.80/x
  3. Step 3: Cross multiply
    288,805,871.20x = 433,208,806.80 × 274,697,096.80
  4. Step 4: Simplify right side
    288,805,871.20x = 119,001,201,536,152,112
  5. Step 5: Solve for x
    x = 119,001,201,536,152,112/288,805,871.20
  6. Step 6: Final answer
    x = 412,045,645.20

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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.