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Finding the Fourth Proportional to 213,861,730,514.90, 320,792,595,772.35 and 213,861,730,514.90

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Solution

The fourth proportional to 213,861,730,514.90, 320,792,595,772.35 and 213,861,730,514.90 is: 320,792,595,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,861,730,514.90 : 320,792,595,772.35 = 213,861,730,514.90 : x
  2. Step 2: Convert to fraction form
    213,861,730,514.90/320,792,595,772.35 = 213,861,730,514.90/x
  3. Step 3: Cross multiply
    213,861,730,514.90x = 320,792,595,772.35 × 213,861,730,514.90
  4. Step 4: Simplify right side
    213,861,730,514.90x = 68,605,259,668,241,560,633,344
  5. Step 5: Solve for x
    x = 68,605,259,668,241,560,633,344/213,861,730,514.90
  6. Step 6: Final answer
    x = 320,792,595,772.35

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1.5x scale

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.