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Finding the Fourth Proportional to 382,415,862.10, 573,623,793.15 and 382,415,862.10

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Solution

The fourth proportional to 382,415,862.10, 573,623,793.15 and 382,415,862.10 is: 573,623,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,415,862.10 : 573,623,793.15 = 382,415,862.10 : x
  2. Step 2: Convert to fraction form
    382,415,862.10/573,623,793.15 = 382,415,862.10/x
  3. Step 3: Cross multiply
    382,415,862.10x = 573,623,793.15 × 382,415,862.10
  4. Step 4: Simplify right side
    382,415,862.10x = 219,362,837,378,529,344
  5. Step 5: Solve for x
    x = 219,362,837,378,529,344/382,415,862.10
  6. Step 6: Final answer
    x = 573,623,793.15

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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.