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Finding the Fourth Proportional to 1,213,791,027.10, 1,820,686,540.65 and 1,213,791,027.10

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Solution

The fourth proportional to 1,213,791,027.10, 1,820,686,540.65 and 1,213,791,027.10 is: 1,820,686,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,791,027.10 : 1,820,686,540.65 = 1,213,791,027.10 : x
  2. Step 2: Convert to fraction form
    1,213,791,027.10/1,820,686,540.65 = 1,213,791,027.10/x
  3. Step 3: Cross multiply
    1,213,791,027.10x = 1,820,686,540.65 × 1,213,791,027.10
  4. Step 4: Simplify right side
    1,213,791,027.10x = 2,209,932,986,202,709,248
  5. Step 5: Solve for x
    x = 2,209,932,986,202,709,248/1,213,791,027.10
  6. Step 6: Final answer
    x = 1,820,686,540.65

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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.