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Finding the Fourth Proportional to 257,996,859.20, 362,215,969.60 and 257,996,859.20

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Solution

The fourth proportional to 257,996,859.20, 362,215,969.60 and 257,996,859.20 is: 362,215,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,996,859.20 : 362,215,969.60 = 257,996,859.20 : x
  2. Step 2: Convert to fraction form
    257,996,859.20/362,215,969.60 = 257,996,859.20/x
  3. Step 3: Cross multiply
    257,996,859.20x = 362,215,969.60 × 257,996,859.20
  4. Step 4: Simplify right side
    257,996,859.20x = 93,450,582,508,882,688
  5. Step 5: Solve for x
    x = 93,450,582,508,882,688/257,996,859.20
  6. Step 6: Final answer
    x = 362,215,969.60

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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.