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Finding the Fourth Proportional to 73,071,072,905.80, 102,079,102,856.60 and 73,071,072,905.80

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Solution

The fourth proportional to 73,071,072,905.80, 102,079,102,856.60 and 73,071,072,905.80 is: 102,079,102,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,071,072,905.80 : 102,079,102,856.60 = 73,071,072,905.80 : x
  2. Step 2: Convert to fraction form
    73,071,072,905.80/102,079,102,856.60 = 73,071,072,905.80/x
  3. Step 3: Cross multiply
    73,071,072,905.80x = 102,079,102,856.60 × 73,071,072,905.80
  4. Step 4: Simplify right side
    73,071,072,905.80x = 7,459,029,566,993,276,600,320
  5. Step 5: Solve for x
    x = 7,459,029,566,993,276,600,320/73,071,072,905.80
  6. Step 6: Final answer
    x = 102,079,102,856.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.