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Finding the Fourth Proportional to 32,290,775,575.09, 48,436,163,362.64 and 32,290,775,575.09

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Solution

The fourth proportional to 32,290,775,575.09, 48,436,163,362.64 and 32,290,775,575.09 is: 48,436,163,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290,775,575.09 : 48,436,163,362.64 = 32,290,775,575.09 : x
  2. Step 2: Convert to fraction form
    32,290,775,575.09/48,436,163,362.64 = 32,290,775,575.09/x
  3. Step 3: Cross multiply
    32,290,775,575.09x = 48,436,163,362.64 × 32,290,775,575.09
  4. Step 4: Simplify right side
    32,290,775,575.09x = 1,564,041,280,861,404,921,856
  5. Step 5: Solve for x
    x = 1,564,041,280,861,404,921,856/32,290,775,575.09
  6. Step 6: Final answer
    x = 48,436,163,362.64

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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.