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Finding the Fourth Proportional to 2,008,075,415.90, 3,012,113,123.86 and 2,008,075,415.90

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Solution

The fourth proportional to 2,008,075,415.90, 3,012,113,123.86 and 2,008,075,415.90 is: 3,012,113,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,075,415.90 : 3,012,113,123.86 = 2,008,075,415.90 : x
  2. Step 2: Convert to fraction form
    2,008,075,415.90/3,012,113,123.86 = 2,008,075,415.90/x
  3. Step 3: Cross multiply
    2,008,075,415.90x = 3,012,113,123.86 × 2,008,075,415.90
  4. Step 4: Simplify right side
    2,008,075,415.90x = 6,048,550,313,933,018,112
  5. Step 5: Solve for x
    x = 6,048,550,313,933,018,112/2,008,075,415.90
  6. Step 6: Final answer
    x = 3,012,113,123.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.