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Finding the Fourth Proportional to 252,283,266.90, 378,424,900.35 and 252,283,266.90

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Solution

The fourth proportional to 252,283,266.90, 378,424,900.35 and 252,283,266.90 is: 378,424,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,283,266.90 : 378,424,900.35 = 252,283,266.90 : x
  2. Step 2: Convert to fraction form
    252,283,266.90/378,424,900.35 = 252,283,266.90/x
  3. Step 3: Cross multiply
    252,283,266.90x = 378,424,900.35 × 252,283,266.90
  4. Step 4: Simplify right side
    252,283,266.90x = 95,470,270,136,604,960
  5. Step 5: Solve for x
    x = 95,470,270,136,604,960/252,283,266.90
  6. Step 6: Final answer
    x = 378,424,900.35

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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.