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Finding the Fourth Proportional to 10,089,095,998.60, 15,133,643,997.90 and 10,089,095,998.60

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Solution

The fourth proportional to 10,089,095,998.60, 15,133,643,997.90 and 10,089,095,998.60 is: 15,133,643,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089,095,998.60 : 15,133,643,997.90 = 10,089,095,998.60 : x
  2. Step 2: Convert to fraction form
    10,089,095,998.60/15,133,643,997.90 = 10,089,095,998.60/x
  3. Step 3: Cross multiply
    10,089,095,998.60x = 15,133,643,997.90 × 10,089,095,998.60
  4. Step 4: Simplify right side
    10,089,095,998.60x = 152,684,787,103,449,808,896
  5. Step 5: Solve for x
    x = 152,684,787,103,449,808,896/10,089,095,998.60
  6. Step 6: Final answer
    x = 15,133,643,997.90

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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.