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Finding the Fourth Proportional to 256,406,541.70, 384,609,812.55 and 74,659,648.90

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Solution

The fourth proportional to 256,406,541.70, 384,609,812.55 and 74,659,648.90 is: 111,989,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406,541.70 : 384,609,812.55 = 74,659,648.90 : x
  2. Step 2: Convert to fraction form
    256,406,541.70/384,609,812.55 = 74,659,648.90/x
  3. Step 3: Cross multiply
    256,406,541.70x = 384,609,812.55 × 74,659,648.90
  4. Step 4: Simplify right side
    256,406,541.70x = 28,714,833,568,477,816
  5. Step 5: Solve for x
    x = 28,714,833,568,477,816/256,406,541.70
  6. Step 6: Final answer
    x = 111,989,473.35

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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.