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Finding the Fourth Proportional to 25,306,857,009.60, 37,960,285,514.40 and 25,306,857,009.60

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Solution

The fourth proportional to 25,306,857,009.60, 37,960,285,514.40 and 25,306,857,009.60 is: 37,960,285,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,306,857,009.60 : 37,960,285,514.40 = 25,306,857,009.60 : x
  2. Step 2: Convert to fraction form
    25,306,857,009.60/37,960,285,514.40 = 25,306,857,009.60/x
  3. Step 3: Cross multiply
    25,306,857,009.60x = 37,960,285,514.40 × 25,306,857,009.60
  4. Step 4: Simplify right side
    25,306,857,009.60x = 960,655,517,556,510,949,376
  5. Step 5: Solve for x
    x = 960,655,517,556,510,949,376/25,306,857,009.60
  6. Step 6: Final answer
    x = 37,960,285,514.40

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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.