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Finding the Fourth Proportional to 257,995,429.20, 362,213,967.60 and 257,995,429.20

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Solution

The fourth proportional to 257,995,429.20, 362,213,967.60 and 257,995,429.20 is: 362,213,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,995,429.20 : 362,213,967.60 = 257,995,429.20 : x
  2. Step 2: Convert to fraction form
    257,995,429.20/362,213,967.60 = 257,995,429.20/x
  3. Step 3: Cross multiply
    257,995,429.20x = 362,213,967.60 × 257,995,429.20
  4. Step 4: Simplify right side
    257,995,429.20x = 93,449,548,033,196,896
  5. Step 5: Solve for x
    x = 93,449,548,033,196,896/257,995,429.20
  6. Step 6: Final answer
    x = 362,213,967.60

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1.5x scale

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.