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Finding the Fourth Proportional to 200,815,808,532.20, 301,223,712,798.30 and 200,815,808,532.20

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Solution

The fourth proportional to 200,815,808,532.20, 301,223,712,798.30 and 200,815,808,532.20 is: 301,223,712,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,815,808,532.20 : 301,223,712,798.30 = 200,815,808,532.20 : x
  2. Step 2: Convert to fraction form
    200,815,808,532.20/301,223,712,798.30 = 200,815,808,532.20/x
  3. Step 3: Cross multiply
    200,815,808,532.20x = 301,223,712,798.30 × 200,815,808,532.20
  4. Step 4: Simplify right side
    200,815,808,532.20x = 60,490,483,434,661,814,992,896
  5. Step 5: Solve for x
    x = 60,490,483,434,661,814,992,896/200,815,808,532.20
  6. Step 6: Final answer
    x = 301,223,712,798.30

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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.