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Finding the Fourth Proportional to 553,259,642.49, 829,653,237.43 and 320,251,188.44

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Solution

The fourth proportional to 553,259,642.49, 829,653,237.43 and 320,251,188.44 is: 480,240,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,259,642.49 : 829,653,237.43 = 320,251,188.44 : x
  2. Step 2: Convert to fraction form
    553,259,642.49/829,653,237.43 = 320,251,188.44/x
  3. Step 3: Cross multiply
    553,259,642.49x = 829,653,237.43 × 320,251,188.44
  4. Step 4: Simplify right side
    553,259,642.49x = 265,697,435,281,324,480
  5. Step 5: Solve for x
    x = 265,697,435,281,324,480/553,259,642.49
  6. Step 6: Final answer
    x = 480,240,044.41

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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.