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Finding the Fourth Proportional to 595,683,105.40, 893,524,658.10 and 431,574,124.60

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Solution

The fourth proportional to 595,683,105.40, 893,524,658.10 and 431,574,124.60 is: 647,361,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,683,105.40 : 893,524,658.10 = 431,574,124.60 : x
  2. Step 2: Convert to fraction form
    595,683,105.40/893,524,658.10 = 431,574,124.60/x
  3. Step 3: Cross multiply
    595,683,105.40x = 893,524,658.10 × 431,574,124.60
  4. Step 4: Simplify right side
    595,683,105.40x = 385,622,122,128,021,824
  5. Step 5: Solve for x
    x = 385,622,122,128,021,824/595,683,105.40
  6. Step 6: Final answer
    x = 647,361,186.90

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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.