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Finding the Fourth Proportional to 99,692,468.60, 149,692,667.70 and 54,342,836.60

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Solution

The fourth proportional to 99,692,468.60, 149,692,667.70 and 54,342,836.60 is: 81,598,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,692,468.60 : 149,692,667.70 = 54,342,836.60 : x
  2. Step 2: Convert to fraction form
    99,692,468.60/149,692,667.70 = 54,342,836.60/x
  3. Step 3: Cross multiply
    99,692,468.60x = 149,692,667.70 × 54,342,836.60
  4. Step 4: Simplify right side
    99,692,468.60x = 8,134,724,181,039,197
  5. Step 5: Solve for x
    x = 8,134,724,181,039,197/99,692,468.60
  6. Step 6: Final answer
    x = 81,598,181.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.