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Finding the Fourth Proportional to 497,759,242.60, 746,638,863.90 and 393,846,999.40

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Solution

The fourth proportional to 497,759,242.60, 746,638,863.90 and 393,846,999.40 is: 590,770,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,759,242.60 : 746,638,863.90 = 393,846,999.40 : x
  2. Step 2: Convert to fraction form
    497,759,242.60/746,638,863.90 = 393,846,999.40/x
  3. Step 3: Cross multiply
    497,759,242.60x = 746,638,863.90 × 393,846,999.40
  4. Step 4: Simplify right side
    497,759,242.60x = 294,061,476,182,439,936
  5. Step 5: Solve for x
    x = 294,061,476,182,439,936/497,759,242.60
  6. Step 6: Final answer
    x = 590,770,499.10

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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.