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Finding the Fourth Proportional to 211,728,297.60, 297,024,278.40 and 211,728,297.60

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Solution

The fourth proportional to 211,728,297.60, 297,024,278.40 and 211,728,297.60 is: 297,024,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,728,297.60 : 297,024,278.40 = 211,728,297.60 : x
  2. Step 2: Convert to fraction form
    211,728,297.60/297,024,278.40 = 211,728,297.60/x
  3. Step 3: Cross multiply
    211,728,297.60x = 297,024,278.40 × 211,728,297.60
  4. Step 4: Simplify right side
    211,728,297.60x = 62,888,444,811,500,448
  5. Step 5: Solve for x
    x = 62,888,444,811,500,448/211,728,297.60
  6. Step 6: Final answer
    x = 297,024,278.40

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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.