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Finding the Fourth Proportional to 200,406,987,200.65, 300,610,480,800.97 and 200,406,987,200.65

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Solution

The fourth proportional to 200,406,987,200.65, 300,610,480,800.97 and 200,406,987,200.65 is: 300,610,480,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406,987,200.65 : 300,610,480,800.97 = 200,406,987,200.65 : x
  2. Step 2: Convert to fraction form
    200,406,987,200.65/300,610,480,800.97 = 200,406,987,200.65/x
  3. Step 3: Cross multiply
    200,406,987,200.65x = 300,610,480,800.97 × 200,406,987,200.65
  4. Step 4: Simplify right side
    200,406,987,200.65x = 60,244,440,778,261,227,634,688
  5. Step 5: Solve for x
    x = 60,244,440,778,261,227,634,688/200,406,987,200.65
  6. Step 6: Final answer
    x = 300,610,480,800.97

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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.