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Finding the Fourth Proportional to 286,770,843.30, 429,360,002.55 and 278,808,219.30

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Solution

The fourth proportional to 286,770,843.30, 429,360,002.55 and 278,808,219.30 is: 417,438,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,770,843.30 : 429,360,002.55 = 278,808,219.30 : x
  2. Step 2: Convert to fraction form
    286,770,843.30/429,360,002.55 = 278,808,219.30/x
  3. Step 3: Cross multiply
    286,770,843.30x = 429,360,002.55 × 278,808,219.30
  4. Step 4: Simplify right side
    286,770,843.30x = 119,709,097,749,608,960
  5. Step 5: Solve for x
    x = 119,709,097,749,608,960/286,770,843.30
  6. Step 6: Final answer
    x = 417,438,175.97

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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.