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Finding the Fourth Proportional to 460,923,672.90, 691,385,509.35 and 460,923,672.90

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Solution

The fourth proportional to 460,923,672.90, 691,385,509.35 and 460,923,672.90 is: 691,385,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,923,672.90 : 691,385,509.35 = 460,923,672.90 : x
  2. Step 2: Convert to fraction form
    460,923,672.90/691,385,509.35 = 460,923,672.90/x
  3. Step 3: Cross multiply
    460,923,672.90x = 691,385,509.35 × 460,923,672.90
  4. Step 4: Simplify right side
    460,923,672.90x = 318,675,948,359,439,296
  5. Step 5: Solve for x
    x = 318,675,948,359,439,296/460,923,672.90
  6. Step 6: Final answer
    x = 691,385,509.35

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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.