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Finding the Fourth Proportional to 959,096,097.20, 1,438,644,145.80 and 959,096,097.20

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Solution

The fourth proportional to 959,096,097.20, 1,438,644,145.80 and 959,096,097.20 is: 1,438,644,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,096,097.20 : 1,438,644,145.80 = 959,096,097.20 : x
  2. Step 2: Convert to fraction form
    959,096,097.20/1,438,644,145.80 = 959,096,097.20/x
  3. Step 3: Cross multiply
    959,096,097.20x = 1,438,644,145.80 × 959,096,097.20
  4. Step 4: Simplify right side
    959,096,097.20x = 1,379,797,985,496,407,808
  5. Step 5: Solve for x
    x = 1,379,797,985,496,407,808/959,096,097.20
  6. Step 6: Final answer
    x = 1,438,644,145.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.