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Finding the Fourth Proportional to 389,546,362,564.80, 584,319,543,847.20 and 389,546,362,564.80

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Solution

The fourth proportional to 389,546,362,564.80, 584,319,543,847.20 and 389,546,362,564.80 is: 584,319,543,847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,546,362,564.80 : 584,319,543,847.20 = 389,546,362,564.80 : x
  2. Step 2: Convert to fraction form
    389,546,362,564.80/584,319,543,847.20 = 389,546,362,564.80/x
  3. Step 3: Cross multiply
    389,546,362,564.80x = 584,319,543,847.20 × 389,546,362,564.80
  4. Step 4: Simplify right side
    389,546,362,564.80x = 227,619,552,881,199,904,980,992
  5. Step 5: Solve for x
    x = 227,619,552,881,199,904,980,992/389,546,362,564.80
  6. Step 6: Final answer
    x = 584,319,543,847.20

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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.