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Finding the Fourth Proportional to 120,625,823.80, 180,938,735.70 and 120,625,823.80

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Solution

The fourth proportional to 120,625,823.80, 180,938,735.70 and 120,625,823.80 is: 180,938,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,625,823.80 : 180,938,735.70 = 120,625,823.80 : x
  2. Step 2: Convert to fraction form
    120,625,823.80/180,938,735.70 = 120,625,823.80/x
  3. Step 3: Cross multiply
    120,625,823.80x = 180,938,735.70 × 120,625,823.80
  4. Step 4: Simplify right side
    120,625,823.80x = 21,825,884,051,142,968
  5. Step 5: Solve for x
    x = 21,825,884,051,142,968/120,625,823.80
  6. Step 6: Final answer
    x = 180,938,735.70

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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.