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Finding the Fourth Proportional to 180,063,460.80, 252,769,089.60 and 180,063,460.80

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Solution

The fourth proportional to 180,063,460.80, 252,769,089.60 and 180,063,460.80 is: 252,769,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,063,460.80 : 252,769,089.60 = 180,063,460.80 : x
  2. Step 2: Convert to fraction form
    180,063,460.80/252,769,089.60 = 180,063,460.80/x
  3. Step 3: Cross multiply
    180,063,460.80x = 252,769,089.60 × 180,063,460.80
  4. Step 4: Simplify right side
    180,063,460.80x = 45,514,477,056,641,288
  5. Step 5: Solve for x
    x = 45,514,477,056,641,288/180,063,460.80
  6. Step 6: Final answer
    x = 252,769,089.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.