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Finding the Fourth Proportional to 594,208,890, 819,992,291.76 and 356,188,533.48

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Solution

The fourth proportional to 594,208,890, 819,992,291.76 and 356,188,533.48 is: 491,530,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,208,890 : 819,992,291.76 = 356,188,533.48 : x
  2. Step 2: Convert to fraction form
    594,208,890/819,992,291.76 = 356,188,533.48/x
  3. Step 3: Cross multiply
    594,208,890x = 819,992,291.76 × 356,188,533.48
  4. Step 4: Simplify right side
    594,208,890x = 292,071,851,866,898,688
  5. Step 5: Solve for x
    x = 292,071,851,866,898,688/594,208,890
  6. Step 6: Final answer
    x = 491,530,599.39

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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.