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Finding the Fourth Proportional to 489,025,231.35, 733,537,847.03 and 489,025,231.35

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Solution

The fourth proportional to 489,025,231.35, 733,537,847.03 and 489,025,231.35 is: 733,537,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,025,231.35 : 733,537,847.03 = 489,025,231.35 : x
  2. Step 2: Convert to fraction form
    489,025,231.35/733,537,847.03 = 489,025,231.35/x
  3. Step 3: Cross multiply
    489,025,231.35x = 733,537,847.03 × 489,025,231.35
  4. Step 4: Simplify right side
    489,025,231.35x = 358,718,515,347,826,688
  5. Step 5: Solve for x
    x = 358,718,515,347,826,688/489,025,231.35
  6. Step 6: Final answer
    x = 733,537,847.03

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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.