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Finding the Fourth Proportional to 615,089,376,044.80, 922,634,064,067.26 and 615,089,376,044.80

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Solution

The fourth proportional to 615,089,376,044.80, 922,634,064,067.26 and 615,089,376,044.80 is: 922,634,064,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,089,376,044.80 : 922,634,064,067.26 = 615,089,376,044.80 : x
  2. Step 2: Convert to fraction form
    615,089,376,044.80/922,634,064,067.26 = 615,089,376,044.80/x
  3. Step 3: Cross multiply
    615,089,376,044.80x = 922,634,064,067.26 × 615,089,376,044.80
  4. Step 4: Simplify right side
    615,089,376,044.80x = 567,502,410,784,809,032,876,032
  5. Step 5: Solve for x
    x = 567,502,410,784,809,032,876,032/615,089,376,044.80
  6. Step 6: Final answer
    x = 922,634,064,067.26

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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.