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Finding the Fourth Proportional to 807,268,291,230.30, 1,210,902,436,845.50 and 807,268,291,230.30

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Solution

The fourth proportional to 807,268,291,230.30, 1,210,902,436,845.50 and 807,268,291,230.30 is: 1,210,902,436,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,268,291,230.30 : 1,210,902,436,845.50 = 807,268,291,230.30 : x
  2. Step 2: Convert to fraction form
    807,268,291,230.30/1,210,902,436,845.50 = 807,268,291,230.30/x
  3. Step 3: Cross multiply
    807,268,291,230.30x = 1,210,902,436,845.50 × 807,268,291,230.30
  4. Step 4: Simplify right side
    807,268,291,230.30x = 977,523,141,038,873,157,566,464
  5. Step 5: Solve for x
    x = 977,523,141,038,873,157,566,464/807,268,291,230.30
  6. Step 6: Final answer
    x = 1,210,902,436,845.50

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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.