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Finding the Fourth Proportional to 257,996,857.95, 362,215,967.85 and 257,996,857.95

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Solution

The fourth proportional to 257,996,857.95, 362,215,967.85 and 257,996,857.95 is: 362,215,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,996,857.95 : 362,215,967.85 = 257,996,857.95 : x
  2. Step 2: Convert to fraction form
    257,996,857.95/362,215,967.85 = 257,996,857.95/x
  3. Step 3: Cross multiply
    257,996,857.95x = 362,215,967.85 × 257,996,857.95
  4. Step 4: Simplify right side
    257,996,857.95x = 93,450,581,604,618,224
  5. Step 5: Solve for x
    x = 93,450,581,604,618,224/257,996,857.95
  6. Step 6: Final answer
    x = 362,215,967.85

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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.