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Finding the Fourth Proportional to 207,231,446.30, 290,548,698.10 and 207,231,446.30

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Solution

The fourth proportional to 207,231,446.30, 290,548,698.10 and 207,231,446.30 is: 290,548,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,231,446.30 : 290,548,698.10 = 207,231,446.30 : x
  2. Step 2: Convert to fraction form
    207,231,446.30/290,548,698.10 = 207,231,446.30/x
  3. Step 3: Cross multiply
    207,231,446.30x = 290,548,698.10 × 207,231,446.30
  4. Step 4: Simplify right side
    207,231,446.30x = 60,210,826,927,845,072
  5. Step 5: Solve for x
    x = 60,210,826,927,845,072/207,231,446.30
  6. Step 6: Final answer
    x = 290,548,698.10

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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.