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Finding the Fourth Proportional to 183,796,200.90, 257,960,382.08 and 183,796,200.90

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Solution

The fourth proportional to 183,796,200.90, 257,960,382.08 and 183,796,200.90 is: 257,960,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,796,200.90 : 257,960,382.08 = 183,796,200.90 : x
  2. Step 2: Convert to fraction form
    183,796,200.90/257,960,382.08 = 183,796,200.90/x
  3. Step 3: Cross multiply
    183,796,200.90x = 257,960,382.08 × 183,796,200.90
  4. Step 4: Simplify right side
    183,796,200.90x = 47,412,138,208,097,456
  5. Step 5: Solve for x
    x = 47,412,138,208,097,456/183,796,200.90
  6. Step 6: Final answer
    x = 257,960,382.08

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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.