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Finding the Fourth Proportional to 613,415,707,710.03, 920,123,561,565.05 and 613,415,707,710.03

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Solution

The fourth proportional to 613,415,707,710.03, 920,123,561,565.05 and 613,415,707,710.03 is: 920,123,561,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,415,707,710.03 : 920,123,561,565.05 = 613,415,707,710.03 : x
  2. Step 2: Convert to fraction form
    613,415,707,710.03/920,123,561,565.05 = 613,415,707,710.03/x
  3. Step 3: Cross multiply
    613,415,707,710.03x = 920,123,561,565.05 × 613,415,707,710.03
  4. Step 4: Simplify right side
    613,415,707,710.03x = 564,418,245,698,098,552,635,392
  5. Step 5: Solve for x
    x = 564,418,245,698,098,552,635,392/613,415,707,710.03
  6. Step 6: Final answer
    x = 920,123,561,565.05

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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.