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Finding the Fourth Proportional to 461,202,205.80, 691,803,308.70 and 461,202,205.80

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Solution

The fourth proportional to 461,202,205.80, 691,803,308.70 and 461,202,205.80 is: 691,803,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,202,205.80 : 691,803,308.70 = 461,202,205.80 : x
  2. Step 2: Convert to fraction form
    461,202,205.80/691,803,308.70 = 461,202,205.80/x
  3. Step 3: Cross multiply
    461,202,205.80x = 691,803,308.70 × 461,202,205.80
  4. Step 4: Simplify right side
    461,202,205.80x = 319,061,211,952,178,368
  5. Step 5: Solve for x
    x = 319,061,211,952,178,368/461,202,205.80
  6. Step 6: Final answer
    x = 691,803,308.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.