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Finding the Fourth Proportional to 597,149,780.80, 895,724,671.20 and 338,869,454.80

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Solution

The fourth proportional to 597,149,780.80, 895,724,671.20 and 338,869,454.80 is: 508,304,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,149,780.80 : 895,724,671.20 = 338,869,454.80 : x
  2. Step 2: Convert to fraction form
    597,149,780.80/895,724,671.20 = 338,869,454.80/x
  3. Step 3: Cross multiply
    597,149,780.80x = 895,724,671.20 × 338,869,454.80
  4. Step 4: Simplify right side
    597,149,780.80x = 303,533,730,980,453,312
  5. Step 5: Solve for x
    x = 303,533,730,980,453,312/597,149,780.80
  6. Step 6: Final answer
    x = 508,304,182.20

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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.