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Finding the Fourth Proportional to 257,996,849.70, 362,215,956.30 and 257,996,849.70

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Solution

The fourth proportional to 257,996,849.70, 362,215,956.30 and 257,996,849.70 is: 362,215,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,996,849.70 : 362,215,956.30 = 257,996,849.70 : x
  2. Step 2: Convert to fraction form
    257,996,849.70/362,215,956.30 = 257,996,849.70/x
  3. Step 3: Cross multiply
    257,996,849.70x = 362,215,956.30 × 257,996,849.70
  4. Step 4: Simplify right side
    257,996,849.70x = 93,450,575,636,472,864
  5. Step 5: Solve for x
    x = 93,450,575,636,472,864/257,996,849.70
  6. Step 6: Final answer
    x = 362,215,956.30

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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.