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Finding the Fourth Proportional to 250,474,646.57, 375,723,779.67 and 206,674,165.08

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Solution

The fourth proportional to 250,474,646.57, 375,723,779.67 and 206,674,165.08 is: 310,020,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,474,646.57 : 375,723,779.67 = 206,674,165.08 : x
  2. Step 2: Convert to fraction form
    250,474,646.57/375,723,779.67 = 206,674,165.08/x
  3. Step 3: Cross multiply
    250,474,646.57x = 375,723,779.67 × 206,674,165.08
  4. Step 4: Simplify right side
    250,474,646.57x = 77,652,398,463,999,136
  5. Step 5: Solve for x
    x = 77,652,398,463,999,136/250,474,646.57
  6. Step 6: Final answer
    x = 310,020,992.26

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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.