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Finding the Fourth Proportional to 215,514,549,610.80, 323,271,824,416.20 and 215,514,549,610.80

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Solution

The fourth proportional to 215,514,549,610.80, 323,271,824,416.20 and 215,514,549,610.80 is: 323,271,824,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,514,549,610.80 : 323,271,824,416.20 = 215,514,549,610.80 : x
  2. Step 2: Convert to fraction form
    215,514,549,610.80/323,271,824,416.20 = 215,514,549,610.80/x
  3. Step 3: Cross multiply
    215,514,549,610.80x = 323,271,824,416.20 × 215,514,549,610.80
  4. Step 4: Simplify right side
    215,514,549,610.80x = 69,669,781,640,918,960,439,296
  5. Step 5: Solve for x
    x = 69,669,781,640,918,960,439,296/215,514,549,610.80
  6. Step 6: Final answer
    x = 323,271,824,416.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.