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Finding the Fourth Proportional to 2,008,075,412.90, 3,012,113,119.36 and 2,008,075,412.90

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Solution

The fourth proportional to 2,008,075,412.90, 3,012,113,119.36 and 2,008,075,412.90 is: 3,012,113,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,075,412.90 : 3,012,113,119.36 = 2,008,075,412.90 : x
  2. Step 2: Convert to fraction form
    2,008,075,412.90/3,012,113,119.36 = 2,008,075,412.90/x
  3. Step 3: Cross multiply
    2,008,075,412.90x = 3,012,113,119.36 × 2,008,075,412.90
  4. Step 4: Simplify right side
    2,008,075,412.90x = 6,048,550,295,860,339,712
  5. Step 5: Solve for x
    x = 6,048,550,295,860,339,712/2,008,075,412.90
  6. Step 6: Final answer
    x = 3,012,113,119.36

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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.