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Finding the Fourth Proportional to 496,863,670.15, 745,295,505.23 and 496,863,670.15

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Solution

The fourth proportional to 496,863,670.15, 745,295,505.23 and 496,863,670.15 is: 745,295,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,863,670.15 : 745,295,505.23 = 496,863,670.15 : x
  2. Step 2: Convert to fraction form
    496,863,670.15/745,295,505.23 = 496,863,670.15/x
  3. Step 3: Cross multiply
    496,863,670.15x = 745,295,505.23 × 496,863,670.15
  4. Step 4: Simplify right side
    496,863,670.15x = 370,310,260,074,876,288
  5. Step 5: Solve for x
    x = 370,310,260,074,876,288/496,863,670.15
  6. Step 6: Final answer
    x = 745,295,505.23

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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.