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Finding the Fourth Proportional to 200,406,987,009.90, 300,610,480,514.85 and 200,406,987,009.90

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Solution

The fourth proportional to 200,406,987,009.90, 300,610,480,514.85 and 200,406,987,009.90 is: 300,610,480,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406,987,009.90 : 300,610,480,514.85 = 200,406,987,009.90 : x
  2. Step 2: Convert to fraction form
    200,406,987,009.90/300,610,480,514.85 = 200,406,987,009.90/x
  3. Step 3: Cross multiply
    200,406,987,009.90x = 300,610,480,514.85 × 200,406,987,009.90
  4. Step 4: Simplify right side
    200,406,987,009.90x = 60,244,440,663,579,334,541,312
  5. Step 5: Solve for x
    x = 60,244,440,663,579,334,541,312/200,406,987,009.90
  6. Step 6: Final answer
    x = 300,610,480,514.85

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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.