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Finding the Fourth Proportional to 298,209,337.04, 411,524,961.14 and 164,244,680.80

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Solution

The fourth proportional to 298,209,337.04, 411,524,961.14 and 164,244,680.80 is: 226,655,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,209,337.04 : 411,524,961.14 = 164,244,680.80 : x
  2. Step 2: Convert to fraction form
    298,209,337.04/411,524,961.14 = 164,244,680.80/x
  3. Step 3: Cross multiply
    298,209,337.04x = 411,524,961.14 × 164,244,680.80
  4. Step 4: Simplify right side
    298,209,337.04x = 67,590,785,883,671,704
  5. Step 5: Solve for x
    x = 67,590,785,883,671,704/298,209,337.04
  6. Step 6: Final answer
    x = 226,655,498.30

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