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Finding the Fourth Proportional to 8,064,307,512,824.40, 12,096,461,269,236 and 8,064,307,512,824.40

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Solution

The fourth proportional to 8,064,307,512,824.40, 12,096,461,269,236 and 8,064,307,512,824.40 is: 12,096,461,269,236

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064,307,512,824.40 : 12,096,461,269,236 = 8,064,307,512,824.40 : x
  2. Step 2: Convert to fraction form
    8,064,307,512,824.40/12,096,461,269,236 = 8,064,307,512,824.40/x
  3. Step 3: Cross multiply
    8,064,307,512,824.40x = 12,096,461,269,236 × 8,064,307,512,824.40
  4. Step 4: Simplify right side
    8,064,307,512,824.40x = 97,549,583,492,089,252,367,302,656
  5. Step 5: Solve for x
    x = 97,549,583,492,089,252,367,302,656/8,064,307,512,824.40
  6. Step 6: Final answer
    x = 12,096,461,269,236

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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.