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Finding the Fourth Proportional to 180,375,506.15, 270,563,259.23 and 180,375,506.15

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Solution

The fourth proportional to 180,375,506.15, 270,563,259.23 and 180,375,506.15 is: 270,563,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,375,506.15 : 270,563,259.23 = 180,375,506.15 : x
  2. Step 2: Convert to fraction form
    180,375,506.15/270,563,259.23 = 180,375,506.15/x
  3. Step 3: Cross multiply
    180,375,506.15x = 270,563,259.23 × 180,375,506.15
  4. Step 4: Simplify right side
    180,375,506.15x = 48,802,984,828,303,040
  5. Step 5: Solve for x
    x = 48,802,984,828,303,040/180,375,506.15
  6. Step 6: Final answer
    x = 270,563,259.23

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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.