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Finding the Fourth Proportional to 257,996,886.20, 362,216,007.40 and 257,996,886.20

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Solution

The fourth proportional to 257,996,886.20, 362,216,007.40 and 257,996,886.20 is: 362,216,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,996,886.20 : 362,216,007.40 = 257,996,886.20 : x
  2. Step 2: Convert to fraction form
    257,996,886.20/362,216,007.40 = 257,996,886.20/x
  3. Step 3: Cross multiply
    257,996,886.20x = 362,216,007.40 × 257,996,886.20
  4. Step 4: Simplify right side
    257,996,886.20x = 93,450,602,040,996,144
  5. Step 5: Solve for x
    x = 93,450,602,040,996,144/257,996,886.20
  6. Step 6: Final answer
    x = 362,216,007.40

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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.