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Finding the Fourth Proportional to 997,691,903,998.95, 1,496,537,855,998.40 and 997,691,903,998.95

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Solution

The fourth proportional to 997,691,903,998.95, 1,496,537,855,998.40 and 997,691,903,998.95 is: 1,496,537,855,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,691,903,998.95 : 1,496,537,855,998.40 = 997,691,903,998.95 : x
  2. Step 2: Convert to fraction form
    997,691,903,998.95/1,496,537,855,998.40 = 997,691,903,998.95/x
  3. Step 3: Cross multiply
    997,691,903,998.95x = 1,496,537,855,998.40 × 997,691,903,998.95
  4. Step 4: Simplify right side
    997,691,903,998.95x = 1,493,083,702,957,549,924,909,056
  5. Step 5: Solve for x
    x = 1,493,083,702,957,549,924,909,056/997,691,903,998.95
  6. Step 6: Final answer
    x = 1,496,537,855,998.40

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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.