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Finding the Fourth Proportional to 397,185,903.80, 595,778,855.70 and 109,971,567.80

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Solution

The fourth proportional to 397,185,903.80, 595,778,855.70 and 109,971,567.80 is: 164,957,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,185,903.80 : 595,778,855.70 = 109,971,567.80 : x
  2. Step 2: Convert to fraction form
    397,185,903.80/595,778,855.70 = 109,971,567.80/x
  3. Step 3: Cross multiply
    397,185,903.80x = 595,778,855.70 × 109,971,567.80
  4. Step 4: Simplify right side
    397,185,903.80x = 65,518,734,823,418,968
  5. Step 5: Solve for x
    x = 65,518,734,823,418,968/397,185,903.80
  6. Step 6: Final answer
    x = 164,957,351.70

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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.