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Finding the Fourth Proportional to 257,996,896.95, 362,216,022.45 and 257,996,896.95

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Solution

The fourth proportional to 257,996,896.95, 362,216,022.45 and 257,996,896.95 is: 362,216,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,996,896.95 : 362,216,022.45 = 257,996,896.95 : x
  2. Step 2: Convert to fraction form
    257,996,896.95/362,216,022.45 = 257,996,896.95/x
  3. Step 3: Cross multiply
    257,996,896.95x = 362,216,022.45 × 257,996,896.95
  4. Step 4: Simplify right side
    257,996,896.95x = 93,450,609,817,671,536
  5. Step 5: Solve for x
    x = 93,450,609,817,671,536/257,996,896.95
  6. Step 6: Final answer
    x = 362,216,022.45

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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.