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Finding the Fourth Proportional to 3,653,809.30, 5,123,731.10 and 3,653,809.30

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Solution

The fourth proportional to 3,653,809.30, 5,123,731.10 and 3,653,809.30 is: 5,123,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653,809.30 : 5,123,731.10 = 3,653,809.30 : x
  2. Step 2: Convert to fraction form
    3,653,809.30/5,123,731.10 = 3,653,809.30/x
  3. Step 3: Cross multiply
    3,653,809.30x = 5,123,731.10 × 3,653,809.30
  4. Step 4: Simplify right side
    3,653,809.30x = 18,721,136,343,879.23
  5. Step 5: Solve for x
    x = 18,721,136,343,879.23/3,653,809.30
  6. Step 6: Final answer
    x = 5,123,731.10

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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.