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Finding the Fourth Proportional to 1,063,361,504.70, 1,594,324,811.70 and 510,928,585.20

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Solution

The fourth proportional to 1,063,361,504.70, 1,594,324,811.70 and 510,928,585.20 is: 766,048,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063,361,504.70 : 1,594,324,811.70 = 510,928,585.20 : x
  2. Step 2: Convert to fraction form
    1,063,361,504.70/1,594,324,811.70 = 510,928,585.20/x
  3. Step 3: Cross multiply
    1,063,361,504.70x = 1,594,324,811.70 × 510,928,585.20
  4. Step 4: Simplify right side
    1,063,361,504.70x = 814,586,120,391,137,408
  5. Step 5: Solve for x
    x = 814,586,120,391,137,408/1,063,361,504.70
  6. Step 6: Final answer
    x = 766,048,156.52

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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.