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Finding the Fourth Proportional to 471,092,415.62, 706,311,390.42 and 208,633,946.40

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Solution

The fourth proportional to 471,092,415.62, 706,311,390.42 and 208,633,946.40 is: 312,805,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,092,415.62 : 706,311,390.42 = 208,633,946.40 : x
  2. Step 2: Convert to fraction form
    471,092,415.62/706,311,390.42 = 208,633,946.40/x
  3. Step 3: Cross multiply
    471,092,415.62x = 706,311,390.42 × 208,633,946.40
  4. Step 4: Simplify right side
    471,092,415.62x = 147,360,532,770,595,744
  5. Step 5: Solve for x
    x = 147,360,532,770,595,744/471,092,415.62
  6. Step 6: Final answer
    x = 312,805,997.05

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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.