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Finding the Fourth Proportional to 329,599,472.40, 493,643,381.40 and 322,041,200.40

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Solution

The fourth proportional to 329,599,472.40, 493,643,381.40 and 322,041,200.40 is: 482,323,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,599,472.40 : 493,643,381.40 = 322,041,200.40 : x
  2. Step 2: Convert to fraction form
    329,599,472.40/493,643,381.40 = 322,041,200.40/x
  3. Step 3: Cross multiply
    329,599,472.40x = 493,643,381.40 × 322,041,200.40
  4. Step 4: Simplify right side
    329,599,472.40x = 158,973,507,115,571,008
  5. Step 5: Solve for x
    x = 158,973,507,115,571,008/329,599,472.40
  6. Step 6: Final answer
    x = 482,323,305.79

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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.