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Finding the Fourth Proportional to 664,851,824.70, 997,277,737.05 and 664,851,824.70

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Solution

The fourth proportional to 664,851,824.70, 997,277,737.05 and 664,851,824.70 is: 997,277,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,851,824.70 : 997,277,737.05 = 664,851,824.70 : x
  2. Step 2: Convert to fraction form
    664,851,824.70/997,277,737.05 = 664,851,824.70/x
  3. Step 3: Cross multiply
    664,851,824.70x = 997,277,737.05 × 664,851,824.70
  4. Step 4: Simplify right side
    664,851,824.70x = 663,041,923,210,379,264
  5. Step 5: Solve for x
    x = 663,041,923,210,379,264/664,851,824.70
  6. Step 6: Final answer
    x = 997,277,737.05

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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.