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Finding the Fourth Proportional to 313,172,253.60, 469,758,380.40 and 313,172,253.60

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Solution

The fourth proportional to 313,172,253.60, 469,758,380.40 and 313,172,253.60 is: 469,758,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,172,253.60 : 469,758,380.40 = 313,172,253.60 : x
  2. Step 2: Convert to fraction form
    313,172,253.60/469,758,380.40 = 313,172,253.60/x
  3. Step 3: Cross multiply
    313,172,253.60x = 469,758,380.40 × 313,172,253.60
  4. Step 4: Simplify right side
    313,172,253.60x = 147,115,290,637,354,080
  5. Step 5: Solve for x
    x = 147,115,290,637,354,080/313,172,253.60
  6. Step 6: Final answer
    x = 469,758,380.40

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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.