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Finding the Fourth Proportional to 334,168,757,237.93, 501,253,135,856.90 and 334,168,757,237.93

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Solution

The fourth proportional to 334,168,757,237.93, 501,253,135,856.90 and 334,168,757,237.93 is: 501,253,135,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,168,757,237.93 : 501,253,135,856.90 = 334,168,757,237.93 : x
  2. Step 2: Convert to fraction form
    334,168,757,237.93/501,253,135,856.90 = 334,168,757,237.93/x
  3. Step 3: Cross multiply
    334,168,757,237.93x = 501,253,135,856.90 × 334,168,757,237.93
  4. Step 4: Simplify right side
    334,168,757,237.93x = 167,503,137,470,915,580,788,736
  5. Step 5: Solve for x
    x = 167,503,137,470,915,580,788,736/334,168,757,237.93
  6. Step 6: Final answer
    x = 501,253,135,856.90

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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.