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Finding the Fourth Proportional to 432,431,136,000.73, 648,646,704,001.09 and 432,431,136,000.73

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Solution

The fourth proportional to 432,431,136,000.73, 648,646,704,001.09 and 432,431,136,000.73 is: 648,646,704,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,431,136,000.73 : 648,646,704,001.09 = 432,431,136,000.73 : x
  2. Step 2: Convert to fraction form
    432,431,136,000.73/648,646,704,001.09 = 432,431,136,000.73/x
  3. Step 3: Cross multiply
    432,431,136,000.73x = 648,646,704,001.09 × 432,431,136,000.73
  4. Step 4: Simplify right side
    432,431,136,000.73x = 280,495,031,074,320,593,977,344
  5. Step 5: Solve for x
    x = 280,495,031,074,320,593,977,344/432,431,136,000.73
  6. Step 6: Final answer
    x = 648,646,704,001.09

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1.5x scale

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.