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Finding the Fourth Proportional to 834,458,951.88, 1,151,495,745.35 and 463,151,754

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Solution

The fourth proportional to 834,458,951.88, 1,151,495,745.35 and 463,151,754 is: 639,117,446.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,458,951.88 : 1,151,495,745.35 = 463,151,754 : x
  2. Step 2: Convert to fraction form
    834,458,951.88/1,151,495,745.35 = 463,151,754/x
  3. Step 3: Cross multiply
    834,458,951.88x = 1,151,495,745.35 × 463,151,754
  4. Step 4: Simplify right side
    834,458,951.88x = 533,317,274,180,074,112
  5. Step 5: Solve for x
    x = 533,317,274,180,074,112/834,458,951.88
  6. Step 6: Final answer
    x = 639,117,446.08

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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.