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Finding the Fourth Proportional to 945,608,672.10, 1,416,499,820.55 and 654,804,156.90

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Solution

The fourth proportional to 945,608,672.10, 1,416,499,820.55 and 654,804,156.90 is: 980,881,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,608,672.10 : 1,416,499,820.55 = 654,804,156.90 : x
  2. Step 2: Convert to fraction form
    945,608,672.10/1,416,499,820.55 = 654,804,156.90/x
  3. Step 3: Cross multiply
    945,608,672.10x = 1,416,499,820.55 × 654,804,156.90
  4. Step 4: Simplify right side
    945,608,672.10x = 927,529,970,744,243,968
  5. Step 5: Solve for x
    x = 927,529,970,744,243,968/945,608,672.10
  6. Step 6: Final answer
    x = 980,881,413.33

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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.