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Finding the Fourth Proportional to 497,664,455.40, 746,496,683.10 and 497,664,455.40

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Solution

The fourth proportional to 497,664,455.40, 746,496,683.10 and 497,664,455.40 is: 746,496,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,455.40 : 746,496,683.10 = 497,664,455.40 : x
  2. Step 2: Convert to fraction form
    497,664,455.40/746,496,683.10 = 497,664,455.40/x
  3. Step 3: Cross multiply
    497,664,455.40x = 746,496,683.10 × 497,664,455.40
  4. Step 4: Simplify right side
    497,664,455.40x = 371,504,865,252,867,904
  5. Step 5: Solve for x
    x = 371,504,865,252,867,904/497,664,455.40
  6. Step 6: Final answer
    x = 746,496,683.10

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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.