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Finding the Fourth Proportional to 200,200,466.40, 280,683,760.80 and 200,200,466.40

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Solution

The fourth proportional to 200,200,466.40, 280,683,760.80 and 200,200,466.40 is: 280,683,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,200,466.40 : 280,683,760.80 = 200,200,466.40 : x
  2. Step 2: Convert to fraction form
    200,200,466.40/280,683,760.80 = 200,200,466.40/x
  3. Step 3: Cross multiply
    200,200,466.40x = 280,683,760.80 × 200,200,466.40
  4. Step 4: Simplify right side
    200,200,466.40x = 56,193,019,823,066,040
  5. Step 5: Solve for x
    x = 56,193,019,823,066,040/200,200,466.40
  6. Step 6: Final answer
    x = 280,683,760.80

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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.