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Finding the Fourth Proportional to 211,543,896.30, 316,718,647.65 and 211,543,896.30

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Solution

The fourth proportional to 211,543,896.30, 316,718,647.65 and 211,543,896.30 is: 316,718,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,543,896.30 : 316,718,647.65 = 211,543,896.30 : x
  2. Step 2: Convert to fraction form
    211,543,896.30/316,718,647.65 = 211,543,896.30/x
  3. Step 3: Cross multiply
    211,543,896.30x = 316,718,647.65 × 211,543,896.30
  4. Step 4: Simplify right side
    211,543,896.30x = 66,999,896,754,747,840
  5. Step 5: Solve for x
    x = 66,999,896,754,747,840/211,543,896.30
  6. Step 6: Final answer
    x = 316,718,647.65

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Why These Related Problems?

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