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Finding the Fourth Proportional to 420,471,806.40, 630,707,709.60 and 420,471,806.40

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Solution

The fourth proportional to 420,471,806.40, 630,707,709.60 and 420,471,806.40 is: 630,707,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,471,806.40 : 630,707,709.60 = 420,471,806.40 : x
  2. Step 2: Convert to fraction form
    420,471,806.40/630,707,709.60 = 420,471,806.40/x
  3. Step 3: Cross multiply
    420,471,806.40x = 630,707,709.60 × 420,471,806.40
  4. Step 4: Simplify right side
    420,471,806.40x = 265,194,809,965,918,624
  5. Step 5: Solve for x
    x = 265,194,809,965,918,624/420,471,806.40
  6. Step 6: Final answer
    x = 630,707,709.60

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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.