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Finding the Fourth Proportional to 213,236,502.30, 319,854,751.05 and 51,678,438.30

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Solution

The fourth proportional to 213,236,502.30, 319,854,751.05 and 51,678,438.30 is: 77,517,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,236,502.30 : 319,854,751.05 = 51,678,438.30 : x
  2. Step 2: Convert to fraction form
    213,236,502.30/319,854,751.05 = 51,678,438.30/x
  3. Step 3: Cross multiply
    213,236,502.30x = 319,854,751.05 × 51,678,438.30
  4. Step 4: Simplify right side
    213,236,502.30x = 16,529,594,017,099,284
  5. Step 5: Solve for x
    x = 16,529,594,017,099,284/213,236,502.30
  6. Step 6: Final answer
    x = 77,517,656.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.