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Finding the Fourth Proportional to 1,187,305,470.55, 1,638,483,476.88 and 658,669,470.31

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Solution

The fourth proportional to 1,187,305,470.55, 1,638,483,476.88 and 658,669,470.31 is: 908,964,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,305,470.55 : 1,638,483,476.88 = 658,669,470.31 : x
  2. Step 2: Convert to fraction form
    1,187,305,470.55/1,638,483,476.88 = 658,669,470.31/x
  3. Step 3: Cross multiply
    1,187,305,470.55x = 1,638,483,476.88 × 658,669,470.31
  4. Step 4: Simplify right side
    1,187,305,470.55x = 1,079,219,043,828,236,672
  5. Step 5: Solve for x
    x = 1,079,219,043,828,236,672/1,187,305,470.55
  6. Step 6: Final answer
    x = 908,964,938.34

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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.