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Finding the Fourth Proportional to 482,893,608.20, 724,340,412.30 and 405,409,510.40

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Solution

The fourth proportional to 482,893,608.20, 724,340,412.30 and 405,409,510.40 is: 608,114,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,893,608.20 : 724,340,412.30 = 405,409,510.40 : x
  2. Step 2: Convert to fraction form
    482,893,608.20/724,340,412.30 = 405,409,510.40/x
  3. Step 3: Cross multiply
    482,893,608.20x = 724,340,412.30 × 405,409,510.40
  4. Step 4: Simplify right side
    482,893,608.20x = 293,654,491,913,477,120
  5. Step 5: Solve for x
    x = 293,654,491,913,477,120/482,893,608.20
  6. Step 6: Final answer
    x = 608,114,265.60

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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.