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Finding the Fourth Proportional to 22,146,048,384.90, 30,946,420,209.90 and 22,146,048,384.90

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Solution

The fourth proportional to 22,146,048,384.90, 30,946,420,209.90 and 22,146,048,384.90 is: 30,946,420,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,146,048,384.90 : 30,946,420,209.90 = 22,146,048,384.90 : x
  2. Step 2: Convert to fraction form
    22,146,048,384.90/30,946,420,209.90 = 22,146,048,384.90/x
  3. Step 3: Cross multiply
    22,146,048,384.90x = 30,946,420,209.90 × 22,146,048,384.90
  4. Step 4: Simplify right side
    22,146,048,384.90x = 685,340,919,307,892,686,848
  5. Step 5: Solve for x
    x = 685,340,919,307,892,686,848/22,146,048,384.90
  6. Step 6: Final answer
    x = 30,946,420,209.90

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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.