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Finding the Fourth Proportional to 475,112,532.80, 712,668,799.20 and 475,112,532.80

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Solution

The fourth proportional to 475,112,532.80, 712,668,799.20 and 475,112,532.80 is: 712,668,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,112,532.80 : 712,668,799.20 = 475,112,532.80 : x
  2. Step 2: Convert to fraction form
    475,112,532.80/712,668,799.20 = 475,112,532.80/x
  3. Step 3: Cross multiply
    475,112,532.80x = 712,668,799.20 × 475,112,532.80
  4. Step 4: Simplify right side
    475,112,532.80x = 338,597,878,235,446,656
  5. Step 5: Solve for x
    x = 338,597,878,235,446,656/475,112,532.80
  6. Step 6: Final answer
    x = 712,668,799.20

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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.