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Finding the Fourth Proportional to 1,600,594,297.40, 2,208,772,690.83 and 886,161,692.08

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Solution

The fourth proportional to 1,600,594,297.40, 2,208,772,690.83 and 886,161,692.08 is: 1,222,876,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,594,297.40 : 2,208,772,690.83 = 886,161,692.08 : x
  2. Step 2: Convert to fraction form
    1,600,594,297.40/2,208,772,690.83 = 886,161,692.08/x
  3. Step 3: Cross multiply
    1,600,594,297.40x = 2,208,772,690.83 × 886,161,692.08
  4. Step 4: Simplify right side
    1,600,594,297.40x = 1,957,329,745,126,007,552
  5. Step 5: Solve for x
    x = 1,957,329,745,126,007,552/1,600,594,297.40
  6. Step 6: Final answer
    x = 1,222,876,870.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.