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Finding the Fourth Proportional to 206,408,379, 284,779,426.80 and 117,085,612.80

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Solution

The fourth proportional to 206,408,379, 284,779,426.80 and 117,085,612.80 is: 161,541,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,408,379 : 284,779,426.80 = 117,085,612.80 : x
  2. Step 2: Convert to fraction form
    206,408,379/284,779,426.80 = 117,085,612.80/x
  3. Step 3: Cross multiply
    206,408,379x = 284,779,426.80 × 117,085,612.80
  4. Step 4: Simplify right side
    206,408,379x = 33,343,573,699,710,744
  5. Step 5: Solve for x
    x = 33,343,573,699,710,744/206,408,379
  6. Step 6: Final answer
    x = 161,541,764.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.