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Finding the Fourth Proportional to 298,765,833.99, 412,297,248.08 and 164,800,728.33

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Solution

The fourth proportional to 298,765,833.99, 412,297,248.08 and 164,800,728.33 is: 227,425,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,765,833.99 : 412,297,248.08 = 164,800,728.33 : x
  2. Step 2: Convert to fraction form
    298,765,833.99/412,297,248.08 = 164,800,728.33/x
  3. Step 3: Cross multiply
    298,765,833.99x = 412,297,248.08 × 164,800,728.33
  4. Step 4: Simplify right side
    298,765,833.99x = 67,946,886,772,038,696
  5. Step 5: Solve for x
    x = 67,946,886,772,038,696/298,765,833.99
  6. Step 6: Final answer
    x = 227,425,224.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.