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Finding the Fourth Proportional to 482,893,607.20, 724,340,410.80 and 405,409,509.40

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Solution

The fourth proportional to 482,893,607.20, 724,340,410.80 and 405,409,509.40 is: 608,114,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,893,607.20 : 724,340,410.80 = 405,409,509.40 : x
  2. Step 2: Convert to fraction form
    482,893,607.20/724,340,410.80 = 405,409,509.40/x
  3. Step 3: Cross multiply
    482,893,607.20x = 724,340,410.80 × 405,409,509.40
  4. Step 4: Simplify right side
    482,893,607.20x = 293,654,490,581,022,400
  5. Step 5: Solve for x
    x = 293,654,490,581,022,400/482,893,607.20
  6. Step 6: Final answer
    x = 608,114,264.10

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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.