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Finding the Fourth Proportional to 238,464,422.40, 357,696,633.60 and 238,464,422.40

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Solution

The fourth proportional to 238,464,422.40, 357,696,633.60 and 238,464,422.40 is: 357,696,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,464,422.40 : 357,696,633.60 = 238,464,422.40 : x
  2. Step 2: Convert to fraction form
    238,464,422.40/357,696,633.60 = 238,464,422.40/x
  3. Step 3: Cross multiply
    238,464,422.40x = 357,696,633.60 × 238,464,422.40
  4. Step 4: Simplify right side
    238,464,422.40x = 85,297,921,125,848,448
  5. Step 5: Solve for x
    x = 85,297,921,125,848,448/238,464,422.40
  6. Step 6: Final answer
    x = 357,696,633.60

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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.