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Finding the Fourth Proportional to 613,415,707,715.05, 920,123,561,572.55 and 613,415,707,715.05

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Solution

The fourth proportional to 613,415,707,715.05, 920,123,561,572.55 and 613,415,707,715.05 is: 920,123,561,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,415,707,715.05 : 920,123,561,572.55 = 613,415,707,715.05 : x
  2. Step 2: Convert to fraction form
    613,415,707,715.05/920,123,561,572.55 = 613,415,707,715.05/x
  3. Step 3: Cross multiply
    613,415,707,715.05x = 920,123,561,572.55 × 613,415,707,715.05
  4. Step 4: Simplify right side
    613,415,707,715.05x = 564,418,245,707,318,236,807,168
  5. Step 5: Solve for x
    x = 564,418,245,707,318,236,807,168/613,415,707,715.05
  6. Step 6: Final answer
    x = 920,123,561,572.55

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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.