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Finding the Fourth Proportional to 455,089,931.20, 682,634,896.80 and 455,089,931.20

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Solution

The fourth proportional to 455,089,931.20, 682,634,896.80 and 455,089,931.20 is: 682,634,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,089,931.20 : 682,634,896.80 = 455,089,931.20 : x
  2. Step 2: Convert to fraction form
    455,089,931.20/682,634,896.80 = 455,089,931.20/x
  3. Step 3: Cross multiply
    455,089,931.20x = 682,634,896.80 × 455,089,931.20
  4. Step 4: Simplify right side
    455,089,931.20x = 310,660,268,219,431,040
  5. Step 5: Solve for x
    x = 310,660,268,219,431,040/455,089,931.20
  6. Step 6: Final answer
    x = 682,634,896.80

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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.