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Finding the Fourth Proportional to 577,470,272.40, 866,205,408.60 and 441,421,376.40

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Solution

The fourth proportional to 577,470,272.40, 866,205,408.60 and 441,421,376.40 is: 662,132,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,470,272.40 : 866,205,408.60 = 441,421,376.40 : x
  2. Step 2: Convert to fraction form
    577,470,272.40/866,205,408.60 = 441,421,376.40/x
  3. Step 3: Cross multiply
    577,470,272.40x = 866,205,408.60 × 441,421,376.40
  4. Step 4: Simplify right side
    577,470,272.40x = 382,361,583,709,336,384
  5. Step 5: Solve for x
    x = 382,361,583,709,336,384/577,470,272.40
  6. Step 6: Final answer
    x = 662,132,064.60

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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.