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Finding the Fourth Proportional to 326,016,668.40, 489,025,002.60 and 326,016,668.40

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Solution

The fourth proportional to 326,016,668.40, 489,025,002.60 and 326,016,668.40 is: 489,025,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,016,668.40 : 489,025,002.60 = 326,016,668.40 : x
  2. Step 2: Convert to fraction form
    326,016,668.40/489,025,002.60 = 326,016,668.40/x
  3. Step 3: Cross multiply
    326,016,668.40x = 489,025,002.60 × 326,016,668.40
  4. Step 4: Simplify right side
    326,016,668.40x = 159,430,302,111,953,344
  5. Step 5: Solve for x
    x = 159,430,302,111,953,344/326,016,668.40
  6. Step 6: Final answer
    x = 489,025,002.60

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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.