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Finding the Fourth Proportional to 256,407,465.60, 384,611,198.40 and 230,877,302.40

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Solution

The fourth proportional to 256,407,465.60, 384,611,198.40 and 230,877,302.40 is: 346,315,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,407,465.60 : 384,611,198.40 = 230,877,302.40 : x
  2. Step 2: Convert to fraction form
    256,407,465.60/384,611,198.40 = 230,877,302.40/x
  3. Step 3: Cross multiply
    256,407,465.60x = 384,611,198.40 × 230,877,302.40
  4. Step 4: Simplify right side
    256,407,465.60x = 88,797,995,959,423,200
  5. Step 5: Solve for x
    x = 88,797,995,959,423,200/256,407,465.60
  6. Step 6: Final answer
    x = 346,315,953.60

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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.