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Finding the Fourth Proportional to 615,089,376,019.30, 922,634,064,028.96 and 615,089,376,019.30

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Solution

The fourth proportional to 615,089,376,019.30, 922,634,064,028.96 and 615,089,376,019.30 is: 922,634,064,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,089,376,019.30 : 922,634,064,028.96 = 615,089,376,019.30 : x
  2. Step 2: Convert to fraction form
    615,089,376,019.30/922,634,064,028.96 = 615,089,376,019.30/x
  3. Step 3: Cross multiply
    615,089,376,019.30x = 922,634,064,028.96 × 615,089,376,019.30
  4. Step 4: Simplify right side
    615,089,376,019.30x = 567,502,410,737,723,910,389,760
  5. Step 5: Solve for x
    x = 567,502,410,737,723,910,389,760/615,089,376,019.30
  6. Step 6: Final answer
    x = 922,634,064,028.96

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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.