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Finding the Fourth Proportional to 288,520,763,941.80, 403,103,504,662.20 and 288,520,763,941.80

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Solution

The fourth proportional to 288,520,763,941.80, 403,103,504,662.20 and 288,520,763,941.80 is: 403,103,504,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,520,763,941.80 : 403,103,504,662.20 = 288,520,763,941.80 : x
  2. Step 2: Convert to fraction form
    288,520,763,941.80/403,103,504,662.20 = 288,520,763,941.80/x
  3. Step 3: Cross multiply
    288,520,763,941.80x = 403,103,504,662.20 × 288,520,763,941.80
  4. Step 4: Simplify right side
    288,520,763,941.80x = 116,303,731,112,754,875,990,016
  5. Step 5: Solve for x
    x = 116,303,731,112,754,875,990,016/288,520,763,941.80
  6. Step 6: Final answer
    x = 403,103,504,662.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.