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Finding the Fourth Proportional to 238,147,564.62, 357,157,573.94 and 65,583,357.51

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Solution

The fourth proportional to 238,147,564.62, 357,157,573.94 and 65,583,357.51 is: 98,357,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,147,564.62 : 357,157,573.94 = 65,583,357.51 : x
  2. Step 2: Convert to fraction form
    238,147,564.62/357,157,573.94 = 65,583,357.51/x
  3. Step 3: Cross multiply
    238,147,564.62x = 357,157,573.94 × 65,583,357.51
  4. Step 4: Simplify right side
    238,147,564.62x = 23,423,592,858,783,360
  5. Step 5: Solve for x
    x = 23,423,592,858,783,360/238,147,564.62
  6. Step 6: Final answer
    x = 98,357,473.85

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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.