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Finding the Fourth Proportional to 597,903,193.80, 896,854,790.70 and 442,934,998.20

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Solution

The fourth proportional to 597,903,193.80, 896,854,790.70 and 442,934,998.20 is: 664,402,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,903,193.80 : 896,854,790.70 = 442,934,998.20 : x
  2. Step 2: Convert to fraction form
    597,903,193.80/896,854,790.70 = 442,934,998.20/x
  3. Step 3: Cross multiply
    597,903,193.80x = 896,854,790.70 × 442,934,998.20
  4. Step 4: Simplify right side
    597,903,193.80x = 397,248,375,104,365,888
  5. Step 5: Solve for x
    x = 397,248,375,104,365,888/597,903,193.80
  6. Step 6: Final answer
    x = 664,402,497.30

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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.