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Finding the Fourth Proportional to 399,456,411.70, 598,288,822.35 and 399,456,411.70

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Solution

The fourth proportional to 399,456,411.70, 598,288,822.35 and 399,456,411.70 is: 598,288,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,456,411.70 : 598,288,822.35 = 399,456,411.70 : x
  2. Step 2: Convert to fraction form
    399,456,411.70/598,288,822.35 = 399,456,411.70/x
  3. Step 3: Cross multiply
    399,456,411.70x = 598,288,822.35 × 399,456,411.70
  4. Step 4: Simplify right side
    399,456,411.70x = 238,990,306,136,149,760
  5. Step 5: Solve for x
    x = 238,990,306,136,149,760/399,456,411.70
  6. Step 6: Final answer
    x = 598,288,822.35

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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.