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Finding the Fourth Proportional to 552,565,864,076.05, 828,848,796,114.10 and 552,565,864,076.05

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Solution

The fourth proportional to 552,565,864,076.05, 828,848,796,114.10 and 552,565,864,076.05 is: 828,848,796,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,565,864,076.05 : 828,848,796,114.10 = 552,565,864,076.05 : x
  2. Step 2: Convert to fraction form
    552,565,864,076.05/828,848,796,114.10 = 552,565,864,076.05/x
  3. Step 3: Cross multiply
    552,565,864,076.05x = 828,848,796,114.10 × 552,565,864,076.05
  4. Step 4: Simplify right side
    552,565,864,076.05x = 457,993,551,213,181,477,584,896
  5. Step 5: Solve for x
    x = 457,993,551,213,181,477,584,896/552,565,864,076.05
  6. Step 6: Final answer
    x = 828,848,796,114.10

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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.