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Finding the Fourth Proportional to 8,064,307,512,998.40, 12,096,461,269,498 and 8,064,307,512,998.40

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Solution

The fourth proportional to 8,064,307,512,998.40, 12,096,461,269,498 and 8,064,307,512,998.40 is: 12,096,461,269,498

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064,307,512,998.40 : 12,096,461,269,498 = 8,064,307,512,998.40 : x
  2. Step 2: Convert to fraction form
    8,064,307,512,998.40/12,096,461,269,498 = 8,064,307,512,998.40/x
  3. Step 3: Cross multiply
    8,064,307,512,998.40x = 12,096,461,269,498 × 8,064,307,512,998.40
  4. Step 4: Simplify right side
    8,064,307,512,998.40x = 97,549,583,496,306,893,072,105,472
  5. Step 5: Solve for x
    x = 97,549,583,496,306,893,072,105,472/8,064,307,512,998.40
  6. Step 6: Final answer
    x = 12,096,461,269,498

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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.