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Finding the Fourth Proportional to 466,271,467.80, 653,735,569.80 and 466,271,467.80

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Solution

The fourth proportional to 466,271,467.80, 653,735,569.80 and 466,271,467.80 is: 653,735,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,271,467.80 : 653,735,569.80 = 466,271,467.80 : x
  2. Step 2: Convert to fraction form
    466,271,467.80/653,735,569.80 = 466,271,467.80/x
  3. Step 3: Cross multiply
    466,271,467.80x = 653,735,569.80 × 466,271,467.80
  4. Step 4: Simplify right side
    466,271,467.80x = 304,818,243,683,715,328
  5. Step 5: Solve for x
    x = 304,818,243,683,715,328/466,271,467.80
  6. Step 6: Final answer
    x = 653,735,569.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.