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Finding the Fourth Proportional to 588,879,463.92, 812,642,992.92 and 320,957,614.32

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Solution

The fourth proportional to 588,879,463.92, 812,642,992.92 and 320,957,614.32 is: 442,915,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,879,463.92 : 812,642,992.92 = 320,957,614.32 : x
  2. Step 2: Convert to fraction form
    588,879,463.92/812,642,992.92 = 320,957,614.32/x
  3. Step 3: Cross multiply
    588,879,463.92x = 812,642,992.92 × 320,957,614.32
  4. Step 4: Simplify right side
    588,879,463.92x = 260,823,956,301,467,840
  5. Step 5: Solve for x
    x = 260,823,956,301,467,840/588,879,463.92
  6. Step 6: Final answer
    x = 442,915,693.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.