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Finding the Fourth Proportional to 552,565,864,083.60, 828,848,796,125.40 and 552,565,864,083.60

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Solution

The fourth proportional to 552,565,864,083.60, 828,848,796,125.40 and 552,565,864,083.60 is: 828,848,796,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,565,864,083.60 : 828,848,796,125.40 = 552,565,864,083.60 : x
  2. Step 2: Convert to fraction form
    552,565,864,083.60/828,848,796,125.40 = 552,565,864,083.60/x
  3. Step 3: Cross multiply
    552,565,864,083.60x = 828,848,796,125.40 × 552,565,864,083.60
  4. Step 4: Simplify right side
    552,565,864,083.60x = 457,993,551,225,683,254,968,320
  5. Step 5: Solve for x
    x = 457,993,551,225,683,254,968,320/552,565,864,083.60
  6. Step 6: Final answer
    x = 828,848,796,125.40

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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.