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Finding the Fourth Proportional to 499,405,903.80, 749,108,855.70 and 499,405,903.80

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Solution

The fourth proportional to 499,405,903.80, 749,108,855.70 and 499,405,903.80 is: 749,108,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,405,903.80 : 749,108,855.70 = 499,405,903.80 : x
  2. Step 2: Convert to fraction form
    499,405,903.80/749,108,855.70 = 499,405,903.80/x
  3. Step 3: Cross multiply
    499,405,903.80x = 749,108,855.70 × 499,405,903.80
  4. Step 4: Simplify right side
    499,405,903.80x = 374,109,385,125,442,304
  5. Step 5: Solve for x
    x = 374,109,385,125,442,304/499,405,903.80
  6. Step 6: Final answer
    x = 749,108,855.70

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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.