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Finding the Fourth Proportional to 475,112,535.80, 712,668,803.70 and 475,112,535.80

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Solution

The fourth proportional to 475,112,535.80, 712,668,803.70 and 475,112,535.80 is: 712,668,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,112,535.80 : 712,668,803.70 = 475,112,535.80 : x
  2. Step 2: Convert to fraction form
    475,112,535.80/712,668,803.70 = 475,112,535.80/x
  3. Step 3: Cross multiply
    475,112,535.80x = 712,668,803.70 × 475,112,535.80
  4. Step 4: Simplify right side
    475,112,535.80x = 338,597,882,511,459,456
  5. Step 5: Solve for x
    x = 338,597,882,511,459,456/475,112,535.80
  6. Step 6: Final answer
    x = 712,668,803.70

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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.