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Finding the Fourth Proportional to 521,520,768,034.06, 782,281,152,051.09 and 521,520,768,034.06

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Solution

The fourth proportional to 521,520,768,034.06, 782,281,152,051.09 and 521,520,768,034.06 is: 782,281,152,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,520,768,034.06 : 782,281,152,051.09 = 521,520,768,034.06 : x
  2. Step 2: Convert to fraction form
    521,520,768,034.06/782,281,152,051.09 = 521,520,768,034.06/x
  3. Step 3: Cross multiply
    521,520,768,034.06x = 782,281,152,051.09 × 521,520,768,034.06
  4. Step 4: Simplify right side
    521,520,768,034.06x = 407,975,867,236,253,693,902,848
  5. Step 5: Solve for x
    x = 407,975,867,236,253,693,902,848/521,520,768,034.06
  6. Step 6: Final answer
    x = 782,281,152,051.09

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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.