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Finding the Fourth Proportional to 1,012,714,922.50, 1,519,063,850.33 and 791,572,274.52

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Solution

The fourth proportional to 1,012,714,922.50, 1,519,063,850.33 and 791,572,274.52 is: 1,187,351,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,714,922.50 : 1,519,063,850.33 = 791,572,274.52 : x
  2. Step 2: Convert to fraction form
    1,012,714,922.50/1,519,063,850.33 = 791,572,274.52/x
  3. Step 3: Cross multiply
    1,012,714,922.50x = 1,519,063,850.33 × 791,572,274.52
  4. Step 4: Simplify right side
    1,012,714,922.50x = 1,202,448,827,140,180,480
  5. Step 5: Solve for x
    x = 1,202,448,827,140,180,480/1,012,714,922.50
  6. Step 6: Final answer
    x = 1,187,351,741.77

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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.