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Finding the Fourth Proportional to 816,295,968,000.40, 1,224,443,952,000.60 and 816,295,968,000.40

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Solution

The fourth proportional to 816,295,968,000.40, 1,224,443,952,000.60 and 816,295,968,000.40 is: 1,224,443,952,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,295,968,000.40 : 1,224,443,952,000.60 = 816,295,968,000.40 : x
  2. Step 2: Convert to fraction form
    816,295,968,000.40/1,224,443,952,000.60 = 816,295,968,000.40/x
  3. Step 3: Cross multiply
    816,295,968,000.40x = 1,224,443,952,000.60 × 816,295,968,000.40
  4. Step 4: Simplify right side
    816,295,968,000.40x = 999,508,661,060,565,190,311,936
  5. Step 5: Solve for x
    x = 999,508,661,060,565,190,311,936/816,295,968,000.40
  6. Step 6: Final answer
    x = 1,224,443,952,000.60

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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.