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Finding the Fourth Proportional to 578,650,617.95, 798,443,193.56 and 340,696,327.37

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Solution

The fourth proportional to 578,650,617.95, 798,443,193.56 and 340,696,327.37 is: 470,105,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,650,617.95 : 798,443,193.56 = 340,696,327.37 : x
  2. Step 2: Convert to fraction form
    578,650,617.95/798,443,193.56 = 340,696,327.37/x
  3. Step 3: Cross multiply
    578,650,617.95x = 798,443,193.56 × 340,696,327.37
  4. Step 4: Simplify right side
    578,650,617.95x = 272,026,663,653,770,336
  5. Step 5: Solve for x
    x = 272,026,663,653,770,336/578,650,617.95
  6. Step 6: Final answer
    x = 470,105,198.57

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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.