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Finding the Fourth Proportional to 524,212,992,777.60, 786,319,489,166.40 and 509,519,712,009.60

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Solution

The fourth proportional to 524,212,992,777.60, 786,319,489,166.40 and 509,519,712,009.60 is: 764,279,568,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,212,992,777.60 : 786,319,489,166.40 = 509,519,712,009.60 : x
  2. Step 2: Convert to fraction form
    524,212,992,777.60/786,319,489,166.40 = 509,519,712,009.60/x
  3. Step 3: Cross multiply
    524,212,992,777.60x = 786,319,489,166.40 × 509,519,712,009.60
  4. Step 4: Simplify right side
    524,212,992,777.60x = 400,645,279,667,599,897,001,984
  5. Step 5: Solve for x
    x = 400,645,279,667,599,897,001,984/524,212,992,777.60
  6. Step 6: Final answer
    x = 764,279,568,014.40

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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.