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Finding the Fourth Proportional to 502,677,576,015.05, 754,016,364,022.55 and 502,677,576,015.05

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Solution

The fourth proportional to 502,677,576,015.05, 754,016,364,022.55 and 502,677,576,015.05 is: 754,016,364,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,677,576,015.05 : 754,016,364,022.55 = 502,677,576,015.05 : x
  2. Step 2: Convert to fraction form
    502,677,576,015.05/754,016,364,022.55 = 502,677,576,015.05/x
  3. Step 3: Cross multiply
    502,677,576,015.05x = 754,016,364,022.55 × 502,677,576,015.05
  4. Step 4: Simplify right side
    502,677,576,015.05x = 379,027,118,142,536,980,365,312
  5. Step 5: Solve for x
    x = 379,027,118,142,536,980,365,312/502,677,576,015.05
  6. Step 6: Final answer
    x = 754,016,364,022.55

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