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Finding the Fourth Proportional to 2,015,883,200,436.30, 3,023,824,800,654.50 and 2,015,883,200,436.30

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Solution

The fourth proportional to 2,015,883,200,436.30, 3,023,824,800,654.50 and 2,015,883,200,436.30 is: 3,023,824,800,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015,883,200,436.30 : 3,023,824,800,654.50 = 2,015,883,200,436.30 : x
  2. Step 2: Convert to fraction form
    2,015,883,200,436.30/3,023,824,800,654.50 = 2,015,883,200,436.30/x
  3. Step 3: Cross multiply
    2,015,883,200,436.30x = 3,023,824,800,654.50 × 2,015,883,200,436.30
  4. Step 4: Simplify right side
    2,015,883,200,436.30x = 6,095,677,616,702,050,850,045,952
  5. Step 5: Solve for x
    x = 6,095,677,616,702,050,850,045,952/2,015,883,200,436.30
  6. Step 6: Final answer
    x = 3,023,824,800,654.50

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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.