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Finding the Fourth Proportional to 333,892,183.50, 500,838,290.82 and 228,743,841.40

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Solution

The fourth proportional to 333,892,183.50, 500,838,290.82 and 228,743,841.40 is: 343,115,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,892,183.50 : 500,838,290.82 = 228,743,841.40 : x
  2. Step 2: Convert to fraction form
    333,892,183.50/500,838,290.82 = 228,743,841.40/x
  3. Step 3: Cross multiply
    333,892,183.50x = 500,838,290.82 × 228,743,841.40
  4. Step 4: Simplify right side
    333,892,183.50x = 114,563,674,562,377,152
  5. Step 5: Solve for x
    x = 114,563,674,562,377,152/333,892,183.50
  6. Step 6: Final answer
    x = 343,115,772.77

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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.