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Finding the Fourth Proportional to 687,148,978.50, 1,029,422,963.34 and 406,188,743.22

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Solution

The fourth proportional to 687,148,978.50, 1,029,422,963.34 and 406,188,743.22 is: 608,514,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,148,978.50 : 1,029,422,963.34 = 406,188,743.22 : x
  2. Step 2: Convert to fraction form
    687,148,978.50/1,029,422,963.34 = 406,188,743.22/x
  3. Step 3: Cross multiply
    687,148,978.50x = 1,029,422,963.34 × 406,188,743.22
  4. Step 4: Simplify right side
    687,148,978.50x = 418,140,019,720,882,752
  5. Step 5: Solve for x
    x = 418,140,019,720,882,752/687,148,978.50
  6. Step 6: Final answer
    x = 608,514,358.32

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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.