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Finding the Fourth Proportional to 326,467,594,480.80, 488,927,424,668.40 and 326,467,594,480.80

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Solution

The fourth proportional to 326,467,594,480.80, 488,927,424,668.40 and 326,467,594,480.80 is: 488,927,424,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,467,594,480.80 : 488,927,424,668.40 = 326,467,594,480.80 : x
  2. Step 2: Convert to fraction form
    326,467,594,480.80/488,927,424,668.40 = 326,467,594,480.80/x
  3. Step 3: Cross multiply
    326,467,594,480.80x = 488,927,424,668.40 × 326,467,594,480.80
  4. Step 4: Simplify right side
    326,467,594,480.80x = 159,618,960,207,185,109,319,680
  5. Step 5: Solve for x
    x = 159,618,960,207,185,109,319,680/326,467,594,480.80
  6. Step 6: Final answer
    x = 488,927,424,668.40

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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.