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Finding the Fourth Proportional to 265,766,611.40, 398,220,681.90 and 150,408,096.20

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Solution

The fourth proportional to 265,766,611.40, 398,220,681.90 and 150,408,096.20 is: 225,369,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,766,611.40 : 398,220,681.90 = 150,408,096.20 : x
  2. Step 2: Convert to fraction form
    265,766,611.40/398,220,681.90 = 150,408,096.20/x
  3. Step 3: Cross multiply
    265,766,611.40x = 398,220,681.90 × 150,408,096.20
  4. Step 4: Simplify right side
    265,766,611.40x = 59,895,614,632,044,792
  5. Step 5: Solve for x
    x = 59,895,614,632,044,792/265,766,611.40
  6. Step 6: Final answer
    x = 225,369,222.70

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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.