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Finding the Fourth Proportional to 313,376,302.20, 439,180,319.40 and 313,376,302.20

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Solution

The fourth proportional to 313,376,302.20, 439,180,319.40 and 313,376,302.20 is: 439,180,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,376,302.20 : 439,180,319.40 = 313,376,302.20 : x
  2. Step 2: Convert to fraction form
    313,376,302.20/439,180,319.40 = 313,376,302.20/x
  3. Step 3: Cross multiply
    313,376,302.20x = 439,180,319.40 × 313,376,302.20
  4. Step 4: Simplify right side
    313,376,302.20x = 137,628,704,492,586,912
  5. Step 5: Solve for x
    x = 137,628,704,492,586,912/313,376,302.20
  6. Step 6: Final answer
    x = 439,180,319.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.