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Finding the Fourth Proportional to 778,704,172.68, 1,074,611,671.44 and 421,471,888.32

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Solution

The fourth proportional to 778,704,172.68, 1,074,611,671.44 and 421,471,888.32 is: 581,631,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,704,172.68 : 1,074,611,671.44 = 421,471,888.32 : x
  2. Step 2: Convert to fraction form
    778,704,172.68/1,074,611,671.44 = 421,471,888.32/x
  3. Step 3: Cross multiply
    778,704,172.68x = 1,074,611,671.44 × 421,471,888.32
  4. Step 4: Simplify right side
    778,704,172.68x = 452,918,610,372,528,256
  5. Step 5: Solve for x
    x = 452,918,610,372,528,256/778,704,172.68
  6. Step 6: Final answer
    x = 581,631,158.87

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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.