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Finding the Fourth Proportional to 948,689,252.80, 1,420,910,512.80 and 778,819,940.80

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Solution

The fourth proportional to 948,689,252.80, 1,420,910,512.80 and 778,819,940.80 is: 1,166,486,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,689,252.80 : 1,420,910,512.80 = 778,819,940.80 : x
  2. Step 2: Convert to fraction form
    948,689,252.80/1,420,910,512.80 = 778,819,940.80/x
  3. Step 3: Cross multiply
    948,689,252.80x = 1,420,910,512.80 × 778,819,940.80
  4. Step 4: Simplify right side
    948,689,252.80x = 1,106,633,441,460,993,536
  5. Step 5: Solve for x
    x = 1,106,633,441,460,993,536/948,689,252.80
  6. Step 6: Final answer
    x = 1,166,486,748.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.