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Finding the Fourth Proportional to 420,471,751.65, 630,707,627.48 and 420,471,751.65

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Solution

The fourth proportional to 420,471,751.65, 630,707,627.48 and 420,471,751.65 is: 630,707,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,471,751.65 : 630,707,627.48 = 420,471,751.65 : x
  2. Step 2: Convert to fraction form
    420,471,751.65/630,707,627.48 = 420,471,751.65/x
  3. Step 3: Cross multiply
    420,471,751.65x = 630,707,627.48 × 420,471,751.65
  4. Step 4: Simplify right side
    420,471,751.65x = 265,194,740,903,428,896
  5. Step 5: Solve for x
    x = 265,194,740,903,428,896/420,471,751.65
  6. Step 6: Final answer
    x = 630,707,627.48

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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.