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Finding the Fourth Proportional to 313,965,223.50, 470,911,900.68 and 83,952,244.29

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Solution

The fourth proportional to 313,965,223.50, 470,911,900.68 and 83,952,244.29 is: 125,918,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,965,223.50 : 470,911,900.68 = 83,952,244.29 : x
  2. Step 2: Convert to fraction form
    313,965,223.50/470,911,900.68 = 83,952,244.29/x
  3. Step 3: Cross multiply
    313,965,223.50x = 470,911,900.68 × 83,952,244.29
  4. Step 4: Simplify right side
    313,965,223.50x = 39,534,110,924,955,584
  5. Step 5: Solve for x
    x = 39,534,110,924,955,584/313,965,223.50
  6. Step 6: Final answer
    x = 125,918,757.77

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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.