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Finding the Fourth Proportional to 582,117,446.40, 873,601,322.40 and 409,930,562.40

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Solution

The fourth proportional to 582,117,446.40, 873,601,322.40 and 409,930,562.40 is: 615,195,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,117,446.40 : 873,601,322.40 = 409,930,562.40 : x
  2. Step 2: Convert to fraction form
    582,117,446.40/873,601,322.40 = 409,930,562.40/x
  3. Step 3: Cross multiply
    582,117,446.40x = 873,601,322.40 × 409,930,562.40
  4. Step 4: Simplify right side
    582,117,446.40x = 358,115,881,404,815,680
  5. Step 5: Solve for x
    x = 358,115,881,404,815,680/582,117,446.40
  6. Step 6: Final answer
    x = 615,195,238.73

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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.