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Finding the Fourth Proportional to 521,520,768,078.86, 782,281,152,118.30 and 521,520,768,078.86

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Solution

The fourth proportional to 521,520,768,078.86, 782,281,152,118.30 and 521,520,768,078.86 is: 782,281,152,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,520,768,078.86 : 782,281,152,118.30 = 521,520,768,078.86 : x
  2. Step 2: Convert to fraction form
    521,520,768,078.86/782,281,152,118.30 = 521,520,768,078.86/x
  3. Step 3: Cross multiply
    521,520,768,078.86x = 782,281,152,118.30 × 521,520,768,078.86
  4. Step 4: Simplify right side
    521,520,768,078.86x = 407,975,867,306,351,318,269,952
  5. Step 5: Solve for x
    x = 407,975,867,306,351,318,269,952/521,520,768,078.86
  6. Step 6: Final answer
    x = 782,281,152,118.30

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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.