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Finding the Fourth Proportional to 172,652,209.60, 258,978,314.40 and 172,652,209.60

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Solution

The fourth proportional to 172,652,209.60, 258,978,314.40 and 172,652,209.60 is: 258,978,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,652,209.60 : 258,978,314.40 = 172,652,209.60 : x
  2. Step 2: Convert to fraction form
    172,652,209.60/258,978,314.40 = 172,652,209.60/x
  3. Step 3: Cross multiply
    172,652,209.60x = 258,978,314.40 × 172,652,209.60
  4. Step 4: Simplify right side
    172,652,209.60x = 44,713,178,219,643,496
  5. Step 5: Solve for x
    x = 44,713,178,219,643,496/172,652,209.60
  6. Step 6: Final answer
    x = 258,978,314.40

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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.