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Finding the Fourth Proportional to 655,099,419.80, 982,649,129.70 and 310,725,651.80

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Solution

The fourth proportional to 655,099,419.80, 982,649,129.70 and 310,725,651.80 is: 466,088,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,099,419.80 : 982,649,129.70 = 310,725,651.80 : x
  2. Step 2: Convert to fraction form
    655,099,419.80/982,649,129.70 = 310,725,651.80/x
  3. Step 3: Cross multiply
    655,099,419.80x = 982,649,129.70 × 310,725,651.80
  4. Step 4: Simplify right side
    655,099,419.80x = 305,334,291,316,735,296
  5. Step 5: Solve for x
    x = 305,334,291,316,735,296/655,099,419.80
  6. Step 6: Final answer
    x = 466,088,477.70

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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.