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Finding the Fourth Proportional to 257,436,145,700.70, 386,154,218,551.05 and 257,436,145,700.70

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Solution

The fourth proportional to 257,436,145,700.70, 386,154,218,551.05 and 257,436,145,700.70 is: 386,154,218,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,436,145,700.70 : 386,154,218,551.05 = 257,436,145,700.70 : x
  2. Step 2: Convert to fraction form
    257,436,145,700.70/386,154,218,551.05 = 257,436,145,700.70/x
  3. Step 3: Cross multiply
    257,436,145,700.70x = 386,154,218,551.05 × 257,436,145,700.70
  4. Step 4: Simplify right side
    257,436,145,700.70x = 99,410,053,669,848,063,410,176
  5. Step 5: Solve for x
    x = 99,410,053,669,848,063,410,176/257,436,145,700.70
  6. Step 6: Final answer
    x = 386,154,218,551.05

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Double scale
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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.