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Finding the Fourth Proportional to 509,306,712.90, 763,960,069.35 and 509,306,712.90

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Solution

The fourth proportional to 509,306,712.90, 763,960,069.35 and 509,306,712.90 is: 763,960,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,306,712.90 : 763,960,069.35 = 509,306,712.90 : x
  2. Step 2: Convert to fraction form
    509,306,712.90/763,960,069.35 = 509,306,712.90/x
  3. Step 3: Cross multiply
    509,306,712.90x = 763,960,069.35 × 509,306,712.90
  4. Step 4: Simplify right side
    509,306,712.90x = 389,089,991,707,504,512
  5. Step 5: Solve for x
    x = 389,089,991,707,504,512/509,306,712.90
  6. Step 6: Final answer
    x = 763,960,069.35

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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.