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Finding the Fourth Proportional to 594,984,308.80, 892,476,463.20 and 413,585,780.80

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Solution

The fourth proportional to 594,984,308.80, 892,476,463.20 and 413,585,780.80 is: 620,378,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,984,308.80 : 892,476,463.20 = 413,585,780.80 : x
  2. Step 2: Convert to fraction form
    594,984,308.80/892,476,463.20 = 413,585,780.80/x
  3. Step 3: Cross multiply
    594,984,308.80x = 892,476,463.20 × 413,585,780.80
  4. Step 4: Simplify right side
    594,984,308.80x = 369,115,574,878,194,496
  5. Step 5: Solve for x
    x = 369,115,574,878,194,496/594,984,308.80
  6. Step 6: Final answer
    x = 620,378,671.20

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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.