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Finding the Fourth Proportional to 1,618,380,031.80, 2,427,570,047.70 and 1,618,380,031.80

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Solution

The fourth proportional to 1,618,380,031.80, 2,427,570,047.70 and 1,618,380,031.80 is: 2,427,570,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,380,031.80 : 2,427,570,047.70 = 1,618,380,031.80 : x
  2. Step 2: Convert to fraction form
    1,618,380,031.80/2,427,570,047.70 = 1,618,380,031.80/x
  3. Step 3: Cross multiply
    1,618,380,031.80x = 2,427,570,047.70 × 1,618,380,031.80
  4. Step 4: Simplify right side
    1,618,380,031.80x = 3,928,730,890,993,453,056
  5. Step 5: Solve for x
    x = 3,928,730,890,993,453,056/1,618,380,031.80
  6. Step 6: Final answer
    x = 2,427,570,047.70

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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.