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Finding the Fourth Proportional to 6,876,038,411.70, 10,314,057,617.55 and 6,876,038,411.70

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Solution

The fourth proportional to 6,876,038,411.70, 10,314,057,617.55 and 6,876,038,411.70 is: 10,314,057,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876,038,411.70 : 10,314,057,617.55 = 6,876,038,411.70 : x
  2. Step 2: Convert to fraction form
    6,876,038,411.70/10,314,057,617.55 = 6,876,038,411.70/x
  3. Step 3: Cross multiply
    6,876,038,411.70x = 10,314,057,617.55 × 6,876,038,411.70
  4. Step 4: Simplify right side
    6,876,038,411.70x = 70,919,856,358,760,783,872
  5. Step 5: Solve for x
    x = 70,919,856,358,760,783,872/6,876,038,411.70
  6. Step 6: Final answer
    x = 10,314,057,617.55

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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.