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Finding the Fourth Proportional to 948,148,695.38, 1,308,447,999 and 524,791,761.15

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Solution

The fourth proportional to 948,148,695.38, 1,308,447,999 and 524,791,761.15 is: 724,214,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,148,695.38 : 1,308,447,999 = 524,791,761.15 : x
  2. Step 2: Convert to fraction form
    948,148,695.38/1,308,447,999 = 524,791,761.15/x
  3. Step 3: Cross multiply
    948,148,695.38x = 1,308,447,999 × 524,791,761.15
  4. Step 4: Simplify right side
    948,148,695.38x = 686,662,729,768,403,456
  5. Step 5: Solve for x
    x = 686,662,729,768,403,456/948,148,695.38
  6. Step 6: Final answer
    x = 724,214,179.82

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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.