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Finding the Fourth Proportional to 213,132,652.80, 319,698,979.20 and 213,132,652.80

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Solution

The fourth proportional to 213,132,652.80, 319,698,979.20 and 213,132,652.80 is: 319,698,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,132,652.80 : 319,698,979.20 = 213,132,652.80 : x
  2. Step 2: Convert to fraction form
    213,132,652.80/319,698,979.20 = 213,132,652.80/x
  3. Step 3: Cross multiply
    213,132,652.80x = 319,698,979.20 × 213,132,652.80
  4. Step 4: Simplify right side
    213,132,652.80x = 68,138,291,534,348,024
  5. Step 5: Solve for x
    x = 68,138,291,534,348,024/213,132,652.80
  6. Step 6: Final answer
    x = 319,698,979.20

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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.