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Finding the Fourth Proportional to 613,415,707,715.04, 920,123,561,572.56 and 613,415,707,715.04

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Solution

The fourth proportional to 613,415,707,715.04, 920,123,561,572.56 and 613,415,707,715.04 is: 920,123,561,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,415,707,715.04 : 920,123,561,572.56 = 613,415,707,715.04 : x
  2. Step 2: Convert to fraction form
    613,415,707,715.04/920,123,561,572.56 = 613,415,707,715.04/x
  3. Step 3: Cross multiply
    613,415,707,715.04x = 920,123,561,572.56 × 613,415,707,715.04
  4. Step 4: Simplify right side
    613,415,707,715.04x = 564,418,245,707,315,149,799,424
  5. Step 5: Solve for x
    x = 564,418,245,707,315,149,799,424/613,415,707,715.04
  6. Step 6: Final answer
    x = 920,123,561,572.56

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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.