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Finding the Fourth Proportional to 546,102,012.80, 819,153,019.20 and 182,596,368.80

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Solution

The fourth proportional to 546,102,012.80, 819,153,019.20 and 182,596,368.80 is: 273,894,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,102,012.80 : 819,153,019.20 = 182,596,368.80 : x
  2. Step 2: Convert to fraction form
    546,102,012.80/819,153,019.20 = 182,596,368.80/x
  3. Step 3: Cross multiply
    546,102,012.80x = 819,153,019.20 × 182,596,368.80
  4. Step 4: Simplify right side
    546,102,012.80x = 149,574,366,797,476,704
  5. Step 5: Solve for x
    x = 149,574,366,797,476,704/546,102,012.80
  6. Step 6: Final answer
    x = 273,894,553.20

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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.