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Finding the Fourth Proportional to 580,883,406.80, 871,325,110.20 and 509,219,790.80

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Solution

The fourth proportional to 580,883,406.80, 871,325,110.20 and 509,219,790.80 is: 763,829,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,883,406.80 : 871,325,110.20 = 509,219,790.80 : x
  2. Step 2: Convert to fraction form
    580,883,406.80/871,325,110.20 = 509,219,790.80/x
  3. Step 3: Cross multiply
    580,883,406.80x = 871,325,110.20 × 509,219,790.80
  4. Step 4: Simplify right side
    580,883,406.80x = 443,695,990,334,830,976
  5. Step 5: Solve for x
    x = 443,695,990,334,830,976/580,883,406.80
  6. Step 6: Final answer
    x = 763,829,686.20

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1.5x scale

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.