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Finding the Fourth Proportional to 47,253,542,543.70, 70,880,313,815.55 and 47,253,542,543.70

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Solution

The fourth proportional to 47,253,542,543.70, 70,880,313,815.55 and 47,253,542,543.70 is: 70,880,313,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,253,542,543.70 : 70,880,313,815.55 = 47,253,542,543.70 : x
  2. Step 2: Convert to fraction form
    47,253,542,543.70/70,880,313,815.55 = 47,253,542,543.70/x
  3. Step 3: Cross multiply
    47,253,542,543.70x = 70,880,313,815.55 × 47,253,542,543.70
  4. Step 4: Simplify right side
    47,253,542,543.70x = 3,349,345,924,393,898,868,736
  5. Step 5: Solve for x
    x = 3,349,345,924,393,898,868,736/47,253,542,543.70
  6. Step 6: Final answer
    x = 70,880,313,815.55

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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.