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Finding the Fourth Proportional to 273,102,981.20, 409,654,471.80 and 241,535,385.80

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Solution

The fourth proportional to 273,102,981.20, 409,654,471.80 and 241,535,385.80 is: 362,303,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,102,981.20 : 409,654,471.80 = 241,535,385.80 : x
  2. Step 2: Convert to fraction form
    273,102,981.20/409,654,471.80 = 241,535,385.80/x
  3. Step 3: Cross multiply
    273,102,981.20x = 409,654,471.80 × 241,535,385.80
  4. Step 4: Simplify right side
    273,102,981.20x = 98,946,050,890,908,224
  5. Step 5: Solve for x
    x = 98,946,050,890,908,224/273,102,981.20
  6. Step 6: Final answer
    x = 362,303,078.70

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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.