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Finding the Fourth Proportional to 552,565,864,086.30, 828,848,796,129.45 and 552,565,864,086.30

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Solution

The fourth proportional to 552,565,864,086.30, 828,848,796,129.45 and 552,565,864,086.30 is: 828,848,796,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,565,864,086.30 : 828,848,796,129.45 = 552,565,864,086.30 : x
  2. Step 2: Convert to fraction form
    552,565,864,086.30/828,848,796,129.45 = 552,565,864,086.30/x
  3. Step 3: Cross multiply
    552,565,864,086.30x = 828,848,796,129.45 × 552,565,864,086.30
  4. Step 4: Simplify right side
    552,565,864,086.30x = 457,993,551,230,159,080,652,800
  5. Step 5: Solve for x
    x = 457,993,551,230,159,080,652,800/552,565,864,086.30
  6. Step 6: Final answer
    x = 828,848,796,129.45

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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.