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Finding the Fourth Proportional to 589,379,714.80, 884,069,572.20 and 201,073,490.80

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Solution

The fourth proportional to 589,379,714.80, 884,069,572.20 and 201,073,490.80 is: 301,610,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,379,714.80 : 884,069,572.20 = 201,073,490.80 : x
  2. Step 2: Convert to fraction form
    589,379,714.80/884,069,572.20 = 201,073,490.80/x
  3. Step 3: Cross multiply
    589,379,714.80x = 884,069,572.20 × 201,073,490.80
  4. Step 4: Simplify right side
    589,379,714.80x = 177,762,954,992,316,640
  5. Step 5: Solve for x
    x = 177,762,954,992,316,640/589,379,714.80
  6. Step 6: Final answer
    x = 301,610,236.20

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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.