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Finding the Fourth Proportional to 6,683,173,713.70, 10,024,760,570.55 and 6,683,173,713.70

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Solution

The fourth proportional to 6,683,173,713.70, 10,024,760,570.55 and 6,683,173,713.70 is: 10,024,760,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683,173,713.70 : 10,024,760,570.55 = 6,683,173,713.70 : x
  2. Step 2: Convert to fraction form
    6,683,173,713.70/10,024,760,570.55 = 6,683,173,713.70/x
  3. Step 3: Cross multiply
    6,683,173,713.70x = 10,024,760,570.55 × 6,683,173,713.70
  4. Step 4: Simplify right side
    6,683,173,713.70x = 66,997,216,331,235,966,976
  5. Step 5: Solve for x
    x = 66,997,216,331,235,966,976/6,683,173,713.70
  6. Step 6: Final answer
    x = 10,024,760,570.55

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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.