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Finding the Fourth Proportional to 673,995,977.70, 1,010,993,966.55 and 265,065,468.90

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Solution

The fourth proportional to 673,995,977.70, 1,010,993,966.55 and 265,065,468.90 is: 397,598,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,995,977.70 : 1,010,993,966.55 = 265,065,468.90 : x
  2. Step 2: Convert to fraction form
    673,995,977.70/1,010,993,966.55 = 265,065,468.90/x
  3. Step 3: Cross multiply
    673,995,977.70x = 1,010,993,966.55 × 265,065,468.90
  4. Step 4: Simplify right side
    673,995,977.70x = 267,979,589,798,646,656
  5. Step 5: Solve for x
    x = 267,979,589,798,646,656/673,995,977.70
  6. Step 6: Final answer
    x = 397,598,203.35

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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.