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Finding the Fourth Proportional to 534,854,701.20, 802,282,051.80 and 488,938,198.80

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Solution

The fourth proportional to 534,854,701.20, 802,282,051.80 and 488,938,198.80 is: 733,407,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,854,701.20 : 802,282,051.80 = 488,938,198.80 : x
  2. Step 2: Convert to fraction form
    534,854,701.20/802,282,051.80 = 488,938,198.80/x
  3. Step 3: Cross multiply
    534,854,701.20x = 802,282,051.80 × 488,938,198.80
  4. Step 4: Simplify right side
    534,854,701.20x = 392,266,341,336,660,288
  5. Step 5: Solve for x
    x = 392,266,341,336,660,288/534,854,701.20
  6. Step 6: Final answer
    x = 733,407,298.20

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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.