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Finding the Fourth Proportional to 225,692,946.92, 311,490,310.61 and 137,638,024.07

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Solution

The fourth proportional to 225,692,946.92, 311,490,310.61 and 137,638,024.07 is: 189,961,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,692,946.92 : 311,490,310.61 = 137,638,024.07 : x
  2. Step 2: Convert to fraction form
    225,692,946.92/311,490,310.61 = 137,638,024.07/x
  3. Step 3: Cross multiply
    225,692,946.92x = 311,490,310.61 × 137,638,024.07
  4. Step 4: Simplify right side
    225,692,946.92x = 42,872,910,868,097,600
  5. Step 5: Solve for x
    x = 42,872,910,868,097,600/225,692,946.92
  6. Step 6: Final answer
    x = 189,961,234.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.