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Finding the Fourth Proportional to 298,209,335.04, 411,524,958.38 and 164,244,678.80

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Solution

The fourth proportional to 298,209,335.04, 411,524,958.38 and 164,244,678.80 is: 226,655,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,209,335.04 : 411,524,958.38 = 164,244,678.80 : x
  2. Step 2: Convert to fraction form
    298,209,335.04/411,524,958.38 = 164,244,678.80/x
  3. Step 3: Cross multiply
    298,209,335.04x = 411,524,958.38 × 164,244,678.80
  4. Step 4: Simplify right side
    298,209,335.04x = 67,590,784,604,427,616
  5. Step 5: Solve for x
    x = 67,590,784,604,427,616/298,209,335.04
  6. Step 6: Final answer
    x = 226,655,495.53

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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.