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Finding the Fourth Proportional to 5,107,595,628.15, 7,661,393,442.23 and 5,107,595,628.15

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Solution

The fourth proportional to 5,107,595,628.15, 7,661,393,442.23 and 5,107,595,628.15 is: 7,661,393,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107,595,628.15 : 7,661,393,442.23 = 5,107,595,628.15 : x
  2. Step 2: Convert to fraction form
    5,107,595,628.15/7,661,393,442.23 = 5,107,595,628.15/x
  3. Step 3: Cross multiply
    5,107,595,628.15x = 7,661,393,442.23 × 5,107,595,628.15
  4. Step 4: Simplify right side
    5,107,595,628.15x = 39,131,299,651,045,490,688
  5. Step 5: Solve for x
    x = 39,131,299,651,045,490,688/5,107,595,628.15
  6. Step 6: Final answer
    x = 7,661,393,442.23

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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.