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Finding the Fourth Proportional to 552,565,864,947.80, 828,848,797,421.70 and 552,565,864,947.80

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Solution

The fourth proportional to 552,565,864,947.80, 828,848,797,421.70 and 552,565,864,947.80 is: 828,848,797,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,565,864,947.80 : 828,848,797,421.70 = 552,565,864,947.80 : x
  2. Step 2: Convert to fraction form
    552,565,864,947.80/828,848,797,421.70 = 552,565,864,947.80/x
  3. Step 3: Cross multiply
    552,565,864,947.80x = 828,848,797,421.70 × 552,565,864,947.80
  4. Step 4: Simplify right side
    552,565,864,947.80x = 457,993,552,658,265,570,017,280
  5. Step 5: Solve for x
    x = 457,993,552,658,265,570,017,280/552,565,864,947.80
  6. Step 6: Final answer
    x = 828,848,797,421.70

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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.