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Finding the Fourth Proportional to 12,048,931,775.90, 18,073,397,663.85 and 12,048,931,775.90

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Solution

The fourth proportional to 12,048,931,775.90, 18,073,397,663.85 and 12,048,931,775.90 is: 18,073,397,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048,931,775.90 : 18,073,397,663.85 = 12,048,931,775.90 : x
  2. Step 2: Convert to fraction form
    12,048,931,775.90/18,073,397,663.85 = 12,048,931,775.90/x
  3. Step 3: Cross multiply
    12,048,931,775.90x = 18,073,397,663.85 × 12,048,931,775.90
  4. Step 4: Simplify right side
    12,048,931,775.90x = 217,765,135,410,439,061,504
  5. Step 5: Solve for x
    x = 217,765,135,410,439,061,504/12,048,931,775.90
  6. Step 6: Final answer
    x = 18,073,397,663.85

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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.