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Finding the Fourth Proportional to 12,068,199,123.05, 18,102,298,684.56 and 12,068,199,123.05

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Solution

The fourth proportional to 12,068,199,123.05, 18,102,298,684.56 and 12,068,199,123.05 is: 18,102,298,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,068,199,123.05 : 18,102,298,684.56 = 12,068,199,123.05 : x
  2. Step 2: Convert to fraction form
    12,068,199,123.05/18,102,298,684.56 = 12,068,199,123.05/x
  3. Step 3: Cross multiply
    12,068,199,123.05x = 18,102,298,684.56 × 12,068,199,123.05
  4. Step 4: Simplify right side
    12,068,199,123.05x = 218,462,145,110,105,653,248
  5. Step 5: Solve for x
    x = 218,462,145,110,105,653,248/12,068,199,123.05
  6. Step 6: Final answer
    x = 18,102,298,684.56

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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.