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Finding the Fourth Proportional to 313,965,193.53, 470,911,855.71 and 83,952,214.32

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Solution

The fourth proportional to 313,965,193.53, 470,911,855.71 and 83,952,214.32 is: 125,918,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,965,193.53 : 470,911,855.71 = 83,952,214.32 : x
  2. Step 2: Convert to fraction form
    313,965,193.53/470,911,855.71 = 83,952,214.32/x
  3. Step 3: Cross multiply
    313,965,193.53x = 470,911,855.71 × 83,952,214.32
  4. Step 4: Simplify right side
    313,965,193.53x = 39,534,093,034,501,552
  5. Step 5: Solve for x
    x = 39,534,093,034,501,552/313,965,193.53
  6. Step 6: Final answer
    x = 125,918,712.81

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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.