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Finding the Fourth Proportional to 71,803,584,906.40, 107,705,377,359.60 and 71,803,584,906.40

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Solution

The fourth proportional to 71,803,584,906.40, 107,705,377,359.60 and 71,803,584,906.40 is: 107,705,377,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,803,584,906.40 : 107,705,377,359.60 = 71,803,584,906.40 : x
  2. Step 2: Convert to fraction form
    71,803,584,906.40/107,705,377,359.60 = 71,803,584,906.40/x
  3. Step 3: Cross multiply
    71,803,584,906.40x = 107,705,377,359.60 × 71,803,584,906.40
  4. Step 4: Simplify right side
    71,803,584,906.40x = 7,733,632,208,115,890,913,280
  5. Step 5: Solve for x
    x = 7,733,632,208,115,890,913,280/71,803,584,906.40
  6. Step 6: Final answer
    x = 107,705,377,359.60

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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.