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Finding the Fourth Proportional to 200,406,987,029.03, 300,610,480,543.54 and 200,406,987,029.03

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Solution

The fourth proportional to 200,406,987,029.03, 300,610,480,543.54 and 200,406,987,029.03 is: 300,610,480,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406,987,029.03 : 300,610,480,543.54 = 200,406,987,029.03 : x
  2. Step 2: Convert to fraction form
    200,406,987,029.03/300,610,480,543.54 = 200,406,987,029.03/x
  3. Step 3: Cross multiply
    200,406,987,029.03x = 300,610,480,543.54 × 200,406,987,029.03
  4. Step 4: Simplify right side
    200,406,987,029.03x = 60,244,440,675,079,688,290,304
  5. Step 5: Solve for x
    x = 60,244,440,675,079,688,290,304/200,406,987,029.03
  6. Step 6: Final answer
    x = 300,610,480,543.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.