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Finding the Fourth Proportional to 886,993,817.60, 1,330,490,726.40 and 886,993,817.60

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Solution

The fourth proportional to 886,993,817.60, 1,330,490,726.40 and 886,993,817.60 is: 1,330,490,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,993,817.60 : 1,330,490,726.40 = 886,993,817.60 : x
  2. Step 2: Convert to fraction form
    886,993,817.60/1,330,490,726.40 = 886,993,817.60/x
  3. Step 3: Cross multiply
    886,993,817.60x = 1,330,490,726.40 × 886,993,817.60
  4. Step 4: Simplify right side
    886,993,817.60x = 1,180,137,048,690,933,248
  5. Step 5: Solve for x
    x = 1,180,137,048,690,933,248/886,993,817.60
  6. Step 6: Final answer
    x = 1,330,490,726.40

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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.