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Finding the Fourth Proportional to 78,167,493,166.90, 117,251,239,750.35 and 78,167,493,166.90

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Solution

The fourth proportional to 78,167,493,166.90, 117,251,239,750.35 and 78,167,493,166.90 is: 117,251,239,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,167,493,166.90 : 117,251,239,750.35 = 78,167,493,166.90 : x
  2. Step 2: Convert to fraction form
    78,167,493,166.90/117,251,239,750.35 = 78,167,493,166.90/x
  3. Step 3: Cross multiply
    78,167,493,166.90x = 117,251,239,750.35 × 78,167,493,166.90
  4. Step 4: Simplify right side
    78,167,493,166.90x = 9,165,235,481,996,037,193,728
  5. Step 5: Solve for x
    x = 9,165,235,481,996,037,193,728/78,167,493,166.90
  6. Step 6: Final answer
    x = 117,251,239,750.35

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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.