Home / 689,653,419,200.80-1,034,480,128,801.20-407,542,428,455.20

Finding the Fourth Proportional to 689,653,419,200.80, 1,034,480,128,801.20 and 407,542,428,455.20

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Solution

The fourth proportional to 689,653,419,200.80, 1,034,480,128,801.20 and 407,542,428,455.20 is: 611,313,642,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,653,419,200.80 : 1,034,480,128,801.20 = 407,542,428,455.20 : x
  2. Step 2: Convert to fraction form
    689,653,419,200.80/1,034,480,128,801.20 = 407,542,428,455.20/x
  3. Step 3: Cross multiply
    689,653,419,200.80x = 1,034,480,128,801.20 × 407,542,428,455.20
  4. Step 4: Simplify right side
    689,653,419,200.80x = 421,594,543,880,289,111,769,088
  5. Step 5: Solve for x
    x = 421,594,543,880,289,111,769,088/689,653,419,200.80
  6. Step 6: Final answer
    x = 611,313,642,682.80

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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.