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Finding the Fourth Proportional to 550,561,454,143.35, 825,842,181,215.02 and 550,561,454,143.35

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Solution

The fourth proportional to 550,561,454,143.35, 825,842,181,215.02 and 550,561,454,143.35 is: 825,842,181,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,561,454,143.35 : 825,842,181,215.02 = 550,561,454,143.35 : x
  2. Step 2: Convert to fraction form
    550,561,454,143.35/825,842,181,215.02 = 550,561,454,143.35/x
  3. Step 3: Cross multiply
    550,561,454,143.35x = 825,842,181,215.02 × 550,561,454,143.35
  4. Step 4: Simplify right side
    550,561,454,143.35x = 454,676,872,182,657,376,583,680
  5. Step 5: Solve for x
    x = 454,676,872,182,657,376,583,680/550,561,454,143.35
  6. Step 6: Final answer
    x = 825,842,181,215.02

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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.