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Finding the Fourth Proportional to 960,338,985.56, 1,324,861,989.65 and 642,901,505.07

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Solution

The fourth proportional to 960,338,985.56, 1,324,861,989.65 and 642,901,505.07 is: 886,932,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,338,985.56 : 1,324,861,989.65 = 642,901,505.07 : x
  2. Step 2: Convert to fraction form
    960,338,985.56/1,324,861,989.65 = 642,901,505.07/x
  3. Step 3: Cross multiply
    960,338,985.56x = 1,324,861,989.65 × 642,901,505.07
  4. Step 4: Simplify right side
    960,338,985.56x = 851,755,767,162,595,200
  5. Step 5: Solve for x
    x = 851,755,767,162,595,200/960,338,985.56
  6. Step 6: Final answer
    x = 886,932,406.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.