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Finding the Fourth Proportional to 945,608,702.60, 1,416,499,866.30 and 654,804,187.40

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Solution

The fourth proportional to 945,608,702.60, 1,416,499,866.30 and 654,804,187.40 is: 980,881,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,608,702.60 : 1,416,499,866.30 = 654,804,187.40 : x
  2. Step 2: Convert to fraction form
    945,608,702.60/1,416,499,866.30 = 654,804,187.40/x
  3. Step 3: Cross multiply
    945,608,702.60x = 1,416,499,866.30 × 654,804,187.40
  4. Step 4: Simplify right side
    945,608,702.60x = 927,530,043,904,780,032
  5. Step 5: Solve for x
    x = 927,530,043,904,780,032/945,608,702.60
  6. Step 6: Final answer
    x = 980,881,459.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.