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Finding the Fourth Proportional to 603,612,000.40, 905,334,019.80 and 194,709,485.20

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Solution

The fourth proportional to 603,612,000.40, 905,334,019.80 and 194,709,485.20 is: 292,037,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,612,000.40 : 905,334,019.80 = 194,709,485.20 : x
  2. Step 2: Convert to fraction form
    603,612,000.40/905,334,019.80 = 194,709,485.20/x
  3. Step 3: Cross multiply
    603,612,000.40x = 905,334,019.80 × 194,709,485.20
  4. Step 4: Simplify right side
    603,612,000.40x = 176,277,120,929,304,576
  5. Step 5: Solve for x
    x = 176,277,120,929,304,576/603,612,000.40
  6. Step 6: Final answer
    x = 292,037,137.78

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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.