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Finding the Fourth Proportional to 502,677,576,015.60, 754,016,364,023.40 and 502,677,576,015.60

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Solution

The fourth proportional to 502,677,576,015.60, 754,016,364,023.40 and 502,677,576,015.60 is: 754,016,364,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,677,576,015.60 : 754,016,364,023.40 = 502,677,576,015.60 : x
  2. Step 2: Convert to fraction form
    502,677,576,015.60/754,016,364,023.40 = 502,677,576,015.60/x
  3. Step 3: Cross multiply
    502,677,576,015.60x = 754,016,364,023.40 × 502,677,576,015.60
  4. Step 4: Simplify right side
    502,677,576,015.60x = 379,027,118,143,378,995,281,920
  5. Step 5: Solve for x
    x = 379,027,118,143,378,995,281,920/502,677,576,015.60
  6. Step 6: Final answer
    x = 754,016,364,023.40

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Similar ratio
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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.