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Finding the Fourth Proportional to 5,045,661,366.30, 7,568,492,049.45 and 5,045,661,366.30

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Solution

The fourth proportional to 5,045,661,366.30, 7,568,492,049.45 and 5,045,661,366.30 is: 7,568,492,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045,661,366.30 : 7,568,492,049.45 = 5,045,661,366.30 : x
  2. Step 2: Convert to fraction form
    5,045,661,366.30/7,568,492,049.45 = 5,045,661,366.30/x
  3. Step 3: Cross multiply
    5,045,661,366.30x = 7,568,492,049.45 × 5,045,661,366.30
  4. Step 4: Simplify right side
    5,045,661,366.30x = 38,188,047,935,058,575,360
  5. Step 5: Solve for x
    x = 38,188,047,935,058,575,360/5,045,661,366.30
  6. Step 6: Final answer
    x = 7,568,492,049.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.