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Finding the Fourth Proportional to 491,649,803.40, 737,474,705.10 and 491,649,803.40

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Solution

The fourth proportional to 491,649,803.40, 737,474,705.10 and 491,649,803.40 is: 737,474,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,649,803.40 : 737,474,705.10 = 491,649,803.40 : x
  2. Step 2: Convert to fraction form
    491,649,803.40/737,474,705.10 = 491,649,803.40/x
  3. Step 3: Cross multiply
    491,649,803.40x = 737,474,705.10 × 491,649,803.40
  4. Step 4: Simplify right side
    491,649,803.40x = 362,579,293,774,888,000
  5. Step 5: Solve for x
    x = 362,579,293,774,888,000/491,649,803.40
  6. Step 6: Final answer
    x = 737,474,705.10

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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.