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Finding the Fourth Proportional to 316,675,659.20, 475,013,488.80 and 316,675,659.20

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Solution

The fourth proportional to 316,675,659.20, 475,013,488.80 and 316,675,659.20 is: 475,013,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,675,659.20 : 475,013,488.80 = 316,675,659.20 : x
  2. Step 2: Convert to fraction form
    316,675,659.20/475,013,488.80 = 316,675,659.20/x
  3. Step 3: Cross multiply
    316,675,659.20x = 475,013,488.80 × 316,675,659.20
  4. Step 4: Simplify right side
    316,675,659.20x = 150,425,209,694,631,808
  5. Step 5: Solve for x
    x = 150,425,209,694,631,808/316,675,659.20
  6. Step 6: Final answer
    x = 475,013,488.80

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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.