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Finding the Fourth Proportional to 10,089,095,997.60, 15,133,643,996.40 and 10,089,095,997.60

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Solution

The fourth proportional to 10,089,095,997.60, 15,133,643,996.40 and 10,089,095,997.60 is: 15,133,643,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089,095,997.60 : 15,133,643,996.40 = 10,089,095,997.60 : x
  2. Step 2: Convert to fraction form
    10,089,095,997.60/15,133,643,996.40 = 10,089,095,997.60/x
  3. Step 3: Cross multiply
    10,089,095,997.60x = 15,133,643,996.40 × 10,089,095,997.60
  4. Step 4: Simplify right side
    10,089,095,997.60x = 152,684,787,073,182,498,816
  5. Step 5: Solve for x
    x = 152,684,787,073,182,498,816/10,089,095,997.60
  6. Step 6: Final answer
    x = 15,133,643,996.40

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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.