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Finding the Fourth Proportional to 152,064,153.20, 228,096,229.80 and 152,064,153.20

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Solution

The fourth proportional to 152,064,153.20, 228,096,229.80 and 152,064,153.20 is: 228,096,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,064,153.20 : 228,096,229.80 = 152,064,153.20 : x
  2. Step 2: Convert to fraction form
    152,064,153.20/228,096,229.80 = 152,064,153.20/x
  3. Step 3: Cross multiply
    152,064,153.20x = 228,096,229.80 × 152,064,153.20
  4. Step 4: Simplify right side
    152,064,153.20x = 34,685,260,032,649,604
  5. Step 5: Solve for x
    x = 34,685,260,032,649,604/152,064,153.20
  6. Step 6: Final answer
    x = 228,096,229.80

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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.