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Finding the Fourth Proportional to 496,177,794.40, 744,266,691.60 and 496,177,794.40

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Solution

The fourth proportional to 496,177,794.40, 744,266,691.60 and 496,177,794.40 is: 744,266,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,177,794.40 : 744,266,691.60 = 496,177,794.40 : x
  2. Step 2: Convert to fraction form
    496,177,794.40/744,266,691.60 = 496,177,794.40/x
  3. Step 3: Cross multiply
    496,177,794.40x = 744,266,691.60 × 496,177,794.40
  4. Step 4: Simplify right side
    496,177,794.40x = 369,288,605,483,473,024
  5. Step 5: Solve for x
    x = 369,288,605,483,473,024/496,177,794.40
  6. Step 6: Final answer
    x = 744,266,691.60

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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.