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Finding the Fourth Proportional to 200,406,987,203.15, 300,610,480,804.72 and 200,406,987,203.15

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Solution

The fourth proportional to 200,406,987,203.15, 300,610,480,804.72 and 200,406,987,203.15 is: 300,610,480,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406,987,203.15 : 300,610,480,804.72 = 200,406,987,203.15 : x
  2. Step 2: Convert to fraction form
    200,406,987,203.15/300,610,480,804.72 = 200,406,987,203.15/x
  3. Step 3: Cross multiply
    200,406,987,203.15x = 300,610,480,804.72 × 200,406,987,203.15
  4. Step 4: Simplify right side
    200,406,987,203.15x = 60,244,440,779,764,281,638,912
  5. Step 5: Solve for x
    x = 60,244,440,779,764,281,638,912/200,406,987,203.15
  6. Step 6: Final answer
    x = 300,610,480,804.72

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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.