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Finding the Fourth Proportional to 562,937,715.29, 843,671,169.54 and 313,933,035.84

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Solution

The fourth proportional to 562,937,715.29, 843,671,169.54 and 313,933,035.84 is: 470,489,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,937,715.29 : 843,671,169.54 = 313,933,035.84 : x
  2. Step 2: Convert to fraction form
    562,937,715.29/843,671,169.54 = 313,933,035.84/x
  3. Step 3: Cross multiply
    562,937,715.29x = 843,671,169.54 × 313,933,035.84
  4. Step 4: Simplify right side
    562,937,715.29x = 264,856,251,504,375,488
  5. Step 5: Solve for x
    x = 264,856,251,504,375,488/562,937,715.29
  6. Step 6: Final answer
    x = 470,489,441.93

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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.