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Finding the Fourth Proportional to 257,436,146,719.20, 386,154,220,078.80 and 257,436,146,719.20

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Solution

The fourth proportional to 257,436,146,719.20, 386,154,220,078.80 and 257,436,146,719.20 is: 386,154,220,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,436,146,719.20 : 386,154,220,078.80 = 257,436,146,719.20 : x
  2. Step 2: Convert to fraction form
    257,436,146,719.20/386,154,220,078.80 = 257,436,146,719.20/x
  3. Step 3: Cross multiply
    257,436,146,719.20x = 386,154,220,078.80 × 257,436,146,719.20
  4. Step 4: Simplify right side
    257,436,146,719.20x = 99,410,054,456,444,211,691,520
  5. Step 5: Solve for x
    x = 99,410,054,456,444,211,691,520/257,436,146,719.20
  6. Step 6: Final answer
    x = 386,154,220,078.80

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1.5x scale

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.