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Finding the Fourth Proportional to 1,382,772,023.70, 2,074,158,035.55 and 1,382,772,023.70

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Solution

The fourth proportional to 1,382,772,023.70, 2,074,158,035.55 and 1,382,772,023.70 is: 2,074,158,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,772,023.70 : 2,074,158,035.55 = 1,382,772,023.70 : x
  2. Step 2: Convert to fraction form
    1,382,772,023.70/2,074,158,035.55 = 1,382,772,023.70/x
  3. Step 3: Cross multiply
    1,382,772,023.70x = 2,074,158,035.55 × 1,382,772,023.70
  4. Step 4: Simplify right side
    1,382,772,023.70x = 2,868,087,704,291,089,920
  5. Step 5: Solve for x
    x = 2,868,087,704,291,089,920/1,382,772,023.70
  6. Step 6: Final answer
    x = 2,074,158,035.55

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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.