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Finding the Fourth Proportional to 200,206,566.40, 280,692,300.80 and 200,206,566.40

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Solution

The fourth proportional to 200,206,566.40, 280,692,300.80 and 200,206,566.40 is: 280,692,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,206,566.40 : 280,692,300.80 = 200,206,566.40 : x
  2. Step 2: Convert to fraction form
    200,206,566.40/280,692,300.80 = 200,206,566.40/x
  3. Step 3: Cross multiply
    200,206,566.40x = 280,692,300.80 × 200,206,566.40
  4. Step 4: Simplify right side
    200,206,566.40x = 56,196,441,758,083,976
  5. Step 5: Solve for x
    x = 56,196,441,758,083,976/200,206,566.40
  6. Step 6: Final answer
    x = 280,692,300.80

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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.