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Finding the Fourth Proportional to 421,227,712.80, 630,707,828.40 and 421,227,712.80

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Solution

The fourth proportional to 421,227,712.80, 630,707,828.40 and 421,227,712.80 is: 630,707,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,227,712.80 : 630,707,828.40 = 421,227,712.80 : x
  2. Step 2: Convert to fraction form
    421,227,712.80/630,707,828.40 = 421,227,712.80/x
  3. Step 3: Cross multiply
    421,227,712.80x = 630,707,828.40 × 421,227,712.80
  4. Step 4: Simplify right side
    421,227,712.80x = 265,671,616,001,986,880
  5. Step 5: Solve for x
    x = 265,671,616,001,986,880/421,227,712.80
  6. Step 6: Final answer
    x = 630,707,828.40

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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.