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Finding the Fourth Proportional to 491,341,505,422.60, 737,012,258,133.90 and 491,341,505,422.60

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Solution

The fourth proportional to 491,341,505,422.60, 737,012,258,133.90 and 491,341,505,422.60 is: 737,012,258,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,341,505,422.60 : 737,012,258,133.90 = 491,341,505,422.60 : x
  2. Step 2: Convert to fraction form
    491,341,505,422.60/737,012,258,133.90 = 491,341,505,422.60/x
  3. Step 3: Cross multiply
    491,341,505,422.60x = 737,012,258,133.90 × 491,341,505,422.60
  4. Step 4: Simplify right side
    491,341,505,422.60x = 362,124,712,426,420,278,657,024
  5. Step 5: Solve for x
    x = 362,124,712,426,420,278,657,024/491,341,505,422.60
  6. Step 6: Final answer
    x = 737,012,258,133.90

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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.