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Finding the Fourth Proportional to 300,884,023.30, 420,376,698.20 and 300,884,023.30

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Solution

The fourth proportional to 300,884,023.30, 420,376,698.20 and 300,884,023.30 is: 420,376,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,884,023.30 : 420,376,698.20 = 300,884,023.30 : x
  2. Step 2: Convert to fraction form
    300,884,023.30/420,376,698.20 = 300,884,023.30/x
  3. Step 3: Cross multiply
    300,884,023.30x = 420,376,698.20 × 300,884,023.30
  4. Step 4: Simplify right side
    300,884,023.30x = 126,484,632,255,985,872
  5. Step 5: Solve for x
    x = 126,484,632,255,985,872/300,884,023.30
  6. Step 6: Final answer
    x = 420,376,698.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.