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Finding the Fourth Proportional to 345,082,355,998.80, 517,623,533,998.20 and 345,082,355,998.80

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Solution

The fourth proportional to 345,082,355,998.80, 517,623,533,998.20 and 345,082,355,998.80 is: 517,623,533,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,082,355,998.80 : 517,623,533,998.20 = 345,082,355,998.80 : x
  2. Step 2: Convert to fraction form
    345,082,355,998.80/517,623,533,998.20 = 345,082,355,998.80/x
  3. Step 3: Cross multiply
    345,082,355,998.80x = 517,623,533,998.20 × 345,082,355,998.80
  4. Step 4: Simplify right side
    345,082,355,998.80x = 178,622,748,632,523,789,565,952
  5. Step 5: Solve for x
    x = 178,622,748,632,523,789,565,952/345,082,355,998.80
  6. Step 6: Final answer
    x = 517,623,533,998.20

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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.