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Finding the Fourth Proportional to 266,328,018.40, 399,492,027.60 and 193,201,736.80

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Solution

The fourth proportional to 266,328,018.40, 399,492,027.60 and 193,201,736.80 is: 289,802,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,328,018.40 : 399,492,027.60 = 193,201,736.80 : x
  2. Step 2: Convert to fraction form
    266,328,018.40/399,492,027.60 = 193,201,736.80/x
  3. Step 3: Cross multiply
    266,328,018.40x = 399,492,027.60 × 193,201,736.80
  4. Step 4: Simplify right side
    266,328,018.40x = 77,182,553,570,073,552
  5. Step 5: Solve for x
    x = 77,182,553,570,073,552/266,328,018.40
  6. Step 6: Final answer
    x = 289,802,605.20

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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.