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Finding the Fourth Proportional to 225,692,947.79, 311,490,311.82 and 137,638,024.94

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Solution

The fourth proportional to 225,692,947.79, 311,490,311.82 and 137,638,024.94 is: 189,961,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,692,947.79 : 311,490,311.82 = 137,638,024.94 : x
  2. Step 2: Convert to fraction form
    225,692,947.79/311,490,311.82 = 137,638,024.94/x
  3. Step 3: Cross multiply
    225,692,947.79x = 311,490,311.82 × 137,638,024.94
  4. Step 4: Simplify right side
    225,692,947.79x = 42,872,911,306,849,536
  5. Step 5: Solve for x
    x = 42,872,911,306,849,536/225,692,947.79
  6. Step 6: Final answer
    x = 189,961,235.95

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Why These Related Problems?

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