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Finding the Fourth Proportional to 874,255,746.93, 1,311,239,977.55 and 313,901,576.30

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Solution

The fourth proportional to 874,255,746.93, 1,311,239,977.55 and 313,901,576.30 is: 470,800,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,255,746.93 : 1,311,239,977.55 = 313,901,576.30 : x
  2. Step 2: Convert to fraction form
    874,255,746.93/1,311,239,977.55 = 313,901,576.30/x
  3. Step 3: Cross multiply
    874,255,746.93x = 1,311,239,977.55 × 313,901,576.30
  4. Step 4: Simplify right side
    874,255,746.93x = 411,600,295,860,521,600
  5. Step 5: Solve for x
    x = 411,600,295,860,521,600/874,255,746.93
  6. Step 6: Final answer
    x = 470,800,789.48

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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.