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Finding the Fourth Proportional to 309,949,745.12, 427,730,609.88 and 170,720,506.90

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Solution

The fourth proportional to 309,949,745.12, 427,730,609.88 and 170,720,506.90 is: 235,594,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,949,745.12 : 427,730,609.88 = 170,720,506.90 : x
  2. Step 2: Convert to fraction form
    309,949,745.12/427,730,609.88 = 170,720,506.90/x
  3. Step 3: Cross multiply
    309,949,745.12x = 427,730,609.88 × 170,720,506.90
  4. Step 4: Simplify right side
    309,949,745.12x = 73,022,386,535,359,744
  5. Step 5: Solve for x
    x = 73,022,386,535,359,744/309,949,745.12
  6. Step 6: Final answer
    x = 235,594,278.38

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Why These Related Problems?

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