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Finding the Fourth Proportional to 211,413,727.20, 317,120,590.80 and 211,413,727.20

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Solution

The fourth proportional to 211,413,727.20, 317,120,590.80 and 211,413,727.20 is: 317,120,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,413,727.20 : 317,120,590.80 = 211,413,727.20 : x
  2. Step 2: Convert to fraction form
    211,413,727.20/317,120,590.80 = 211,413,727.20/x
  3. Step 3: Cross multiply
    211,413,727.20x = 317,120,590.80 × 211,413,727.20
  4. Step 4: Simplify right side
    211,413,727.20x = 67,043,646,072,894,032
  5. Step 5: Solve for x
    x = 67,043,646,072,894,032/211,413,727.20
  6. Step 6: Final answer
    x = 317,120,590.80

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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.