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Finding the Fourth Proportional to 5,940,447,500,830.40, 8,910,671,251,245.90 and 5,940,447,500,830.40

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Solution

The fourth proportional to 5,940,447,500,830.40, 8,910,671,251,245.90 and 5,940,447,500,830.40 is: 8,910,671,251,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940,447,500,830.40 : 8,910,671,251,245.90 = 5,940,447,500,830.40 : x
  2. Step 2: Convert to fraction form
    5,940,447,500,830.40/8,910,671,251,245.90 = 5,940,447,500,830.40/x
  3. Step 3: Cross multiply
    5,940,447,500,830.40x = 8,910,671,251,245.90 × 5,940,447,500,830.40
  4. Step 4: Simplify right side
    5,940,447,500,830.40x = 52,933,374,765,185,009,971,101,696
  5. Step 5: Solve for x
    x = 52,933,374,765,185,009,971,101,696/5,940,447,500,830.40
  6. Step 6: Final answer
    x = 8,910,671,251,245.90

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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.