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Finding the Fourth Proportional to 731,591,848.11, 1,009,597,750.16 and 397,064,375.70

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Solution

The fourth proportional to 731,591,848.11, 1,009,597,750.16 and 397,064,375.70 is: 547,949,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,591,848.11 : 1,009,597,750.16 = 397,064,375.70 : x
  2. Step 2: Convert to fraction form
    731,591,848.11/1,009,597,750.16 = 397,064,375.70/x
  3. Step 3: Cross multiply
    731,591,848.11x = 1,009,597,750.16 × 397,064,375.70
  4. Step 4: Simplify right side
    731,591,848.11x = 400,875,300,373,419,648
  5. Step 5: Solve for x
    x = 400,875,300,373,419,648/731,591,848.11
  6. Step 6: Final answer
    x = 547,949,381.08

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