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Finding the Fourth Proportional to 597,908,459.80, 896,862,689.70 and 442,940,264.20

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Solution

The fourth proportional to 597,908,459.80, 896,862,689.70 and 442,940,264.20 is: 664,410,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,908,459.80 : 896,862,689.70 = 442,940,264.20 : x
  2. Step 2: Convert to fraction form
    597,908,459.80/896,862,689.70 = 442,940,264.20/x
  3. Step 3: Cross multiply
    597,908,459.80x = 896,862,689.70 × 442,940,264.20
  4. Step 4: Simplify right side
    597,908,459.80x = 397,256,596,726,840,640
  5. Step 5: Solve for x
    x = 397,256,596,726,840,640/597,908,459.80
  6. Step 6: Final answer
    x = 664,410,396.30

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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.