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Finding the Fourth Proportional to 256,407,615.60, 384,611,423.40 and 230,877,452.40

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Solution

The fourth proportional to 256,407,615.60, 384,611,423.40 and 230,877,452.40 is: 346,316,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,407,615.60 : 384,611,423.40 = 230,877,452.40 : x
  2. Step 2: Convert to fraction form
    256,407,615.60/384,611,423.40 = 230,877,452.40/x
  3. Step 3: Cross multiply
    256,407,615.60x = 384,611,423.40 × 230,877,452.40
  4. Step 4: Simplify right side
    256,407,615.60x = 88,798,105,598,529,744
  5. Step 5: Solve for x
    x = 88,798,105,598,529,744/256,407,615.60
  6. Step 6: Final answer
    x = 346,316,178.60

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1.5x scale

Why These Related Problems?

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