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Finding the Fourth Proportional to 497,664,376.30, 746,496,564.45 and 497,664,376.30

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Solution

The fourth proportional to 497,664,376.30, 746,496,564.45 and 497,664,376.30 is: 746,496,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,376.30 : 746,496,564.45 = 497,664,376.30 : x
  2. Step 2: Convert to fraction form
    497,664,376.30/746,496,564.45 = 497,664,376.30/x
  3. Step 3: Cross multiply
    497,664,376.30x = 746,496,564.45 × 497,664,376.30
  4. Step 4: Simplify right side
    497,664,376.30x = 371,504,747,157,102,016
  5. Step 5: Solve for x
    x = 371,504,747,157,102,016/497,664,376.30
  6. Step 6: Final answer
    x = 746,496,564.45

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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.