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Finding the Fourth Proportional to 597,906,993.80, 896,860,490.70 and 442,938,798.20

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Solution

The fourth proportional to 597,906,993.80, 896,860,490.70 and 442,938,798.20 is: 664,408,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,906,993.80 : 896,860,490.70 = 442,938,798.20 : x
  2. Step 2: Convert to fraction form
    597,906,993.80/896,860,490.70 = 442,938,798.20/x
  3. Step 3: Cross multiply
    597,906,993.80x = 896,860,490.70 × 442,938,798.20
  4. Step 4: Simplify right side
    597,906,993.80x = 397,254,307,903,720,256
  5. Step 5: Solve for x
    x = 397,254,307,903,720,256/597,906,993.80
  6. Step 6: Final answer
    x = 664,408,197.30

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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.