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Finding the Fourth Proportional to 521,520,768,093.24, 782,281,152,139.83 and 521,520,768,093.24

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Solution

The fourth proportional to 521,520,768,093.24, 782,281,152,139.83 and 521,520,768,093.24 is: 782,281,152,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,520,768,093.24 : 782,281,152,139.83 = 521,520,768,093.24 : x
  2. Step 2: Convert to fraction form
    521,520,768,093.24/782,281,152,139.83 = 521,520,768,093.24/x
  3. Step 3: Cross multiply
    521,520,768,093.24x = 782,281,152,139.83 × 521,520,768,093.24
  4. Step 4: Simplify right side
    521,520,768,093.24x = 407,975,867,328,828,828,286,976
  5. Step 5: Solve for x
    x = 407,975,867,328,828,828,286,976/521,520,768,093.24
  6. Step 6: Final answer
    x = 782,281,152,139.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.