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Finding the Fourth Proportional to 615,504,911,125.60, 923,257,366,688.40 and 615,504,911,125.60

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Solution

The fourth proportional to 615,504,911,125.60, 923,257,366,688.40 and 615,504,911,125.60 is: 923,257,366,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,504,911,125.60 : 923,257,366,688.40 = 615,504,911,125.60 : x
  2. Step 2: Convert to fraction form
    615,504,911,125.60/923,257,366,688.40 = 615,504,911,125.60/x
  3. Step 3: Cross multiply
    615,504,911,125.60x = 923,257,366,688.40 × 615,504,911,125.60
  4. Step 4: Simplify right side
    615,504,911,125.60x = 568,269,443,429,599,094,505,472
  5. Step 5: Solve for x
    x = 568,269,443,429,599,094,505,472/615,504,911,125.60
  6. Step 6: Final answer
    x = 923,257,366,688.40

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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.