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Finding the Fourth Proportional to 5,509,997,783,999.60, 8,264,996,675,999.40 and 5,509,997,783,999.60

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Solution

The fourth proportional to 5,509,997,783,999.60, 8,264,996,675,999.40 and 5,509,997,783,999.60 is: 8,264,996,675,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,997,783,999.60 : 8,264,996,675,999.40 = 5,509,997,783,999.60 : x
  2. Step 2: Convert to fraction form
    5,509,997,783,999.60/8,264,996,675,999.40 = 5,509,997,783,999.60/x
  3. Step 3: Cross multiply
    5,509,997,783,999.60x = 8,264,996,675,999.40 × 5,509,997,783,999.60
  4. Step 4: Simplify right side
    5,509,997,783,999.60x = 45,540,113,369,520,750,628,700,160
  5. Step 5: Solve for x
    x = 45,540,113,369,520,750,628,700,160/5,509,997,783,999.60
  6. Step 6: Final answer
    x = 8,264,996,675,999.40

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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.