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Finding the Fourth Proportional to 2,146,180,513.45, 3,219,270,770.18 and 2,146,180,513.45

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Solution

The fourth proportional to 2,146,180,513.45, 3,219,270,770.18 and 2,146,180,513.45 is: 3,219,270,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,180,513.45 : 3,219,270,770.18 = 2,146,180,513.45 : x
  2. Step 2: Convert to fraction form
    2,146,180,513.45/3,219,270,770.18 = 2,146,180,513.45/x
  3. Step 3: Cross multiply
    2,146,180,513.45x = 3,219,270,770.18 × 2,146,180,513.45
  4. Step 4: Simplify right side
    2,146,180,513.45x = 6,909,136,194,479,489,024
  5. Step 5: Solve for x
    x = 6,909,136,194,479,489,024/2,146,180,513.45
  6. Step 6: Final answer
    x = 3,219,270,770.18

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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.