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Finding the Fourth Proportional to 611,828,676,978.69, 844,326,199,162.80 and 333,737,300,721.21

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Solution

The fourth proportional to 611,828,676,978.69, 844,326,199,162.80 and 333,737,300,721.21 is: 460,558,906,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,828,676,978.69 : 844,326,199,162.80 = 333,737,300,721.21 : x
  2. Step 2: Convert to fraction form
    611,828,676,978.69/844,326,199,162.80 = 333,737,300,721.21/x
  3. Step 3: Cross multiply
    611,828,676,978.69x = 844,326,199,162.80 × 333,737,300,721.21
  4. Step 4: Simplify right side
    611,828,676,978.69x = 281,783,146,636,791,653,597,184
  5. Step 5: Solve for x
    x = 281,783,146,636,791,653,597,184/611,828,676,978.69
  6. Step 6: Final answer
    x = 460,558,906,830.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.