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Finding the Fourth Proportional to 16,146,530,178.40, 24,219,795,267.60 and 16,146,530,178.40

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Solution

The fourth proportional to 16,146,530,178.40, 24,219,795,267.60 and 16,146,530,178.40 is: 24,219,795,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146,530,178.40 : 24,219,795,267.60 = 16,146,530,178.40 : x
  2. Step 2: Convert to fraction form
    16,146,530,178.40/24,219,795,267.60 = 16,146,530,178.40/x
  3. Step 3: Cross multiply
    16,146,530,178.40x = 24,219,795,267.60 × 16,146,530,178.40
  4. Step 4: Simplify right side
    16,146,530,178.40x = 391,065,655,202,972,893,184
  5. Step 5: Solve for x
    x = 391,065,655,202,972,893,184/16,146,530,178.40
  6. Step 6: Final answer
    x = 24,219,795,267.60

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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.