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Finding the Fourth Proportional to 97,794,307,220.40, 146,691,460,830.60 and 97,794,307,220.40

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Solution

The fourth proportional to 97,794,307,220.40, 146,691,460,830.60 and 97,794,307,220.40 is: 146,691,460,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,794,307,220.40 : 146,691,460,830.60 = 97,794,307,220.40 : x
  2. Step 2: Convert to fraction form
    97,794,307,220.40/146,691,460,830.60 = 97,794,307,220.40/x
  3. Step 3: Cross multiply
    97,794,307,220.40x = 146,691,460,830.60 × 97,794,307,220.40
  4. Step 4: Simplify right side
    97,794,307,220.40x = 14,345,589,787,076,969,103,360
  5. Step 5: Solve for x
    x = 14,345,589,787,076,969,103,360/97,794,307,220.40
  6. Step 6: Final answer
    x = 146,691,460,830.60

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

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