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Finding the Fourth Proportional to 200,809,009.40, 301,213,514.10 and 200,809,009.40

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Solution

The fourth proportional to 200,809,009.40, 301,213,514.10 and 200,809,009.40 is: 301,213,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,809,009.40 : 301,213,514.10 = 200,809,009.40 : x
  2. Step 2: Convert to fraction form
    200,809,009.40/301,213,514.10 = 200,809,009.40/x
  3. Step 3: Cross multiply
    200,809,009.40x = 301,213,514.10 × 200,809,009.40
  4. Step 4: Simplify right side
    200,809,009.40x = 60,486,387,384,313,936
  5. Step 5: Solve for x
    x = 60,486,387,384,313,936/200,809,009.40
  6. Step 6: Final answer
    x = 301,213,514.10

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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.