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Finding the Fourth Proportional to 269,478,022.40, 403,461,206.40 and 261,919,750.40

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Solution

The fourth proportional to 269,478,022.40, 403,461,206.40 and 261,919,750.40 is: 392,144,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,478,022.40 : 403,461,206.40 = 261,919,750.40 : x
  2. Step 2: Convert to fraction form
    269,478,022.40/403,461,206.40 = 261,919,750.40/x
  3. Step 3: Cross multiply
    269,478,022.40x = 403,461,206.40 × 261,919,750.40
  4. Step 4: Simplify right side
    269,478,022.40x = 105,674,458,476,370,880
  5. Step 5: Solve for x
    x = 105,674,458,476,370,880/269,478,022.40
  6. Step 6: Final answer
    x = 392,144,997.71

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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.