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Finding the Fourth Proportional to 891,758,016,870.30, 1,337,637,025,305.50 and 891,758,016,870.30

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Solution

The fourth proportional to 891,758,016,870.30, 1,337,637,025,305.50 and 891,758,016,870.30 is: 1,337,637,025,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,758,016,870.30 : 1,337,637,025,305.50 = 891,758,016,870.30 : x
  2. Step 2: Convert to fraction form
    891,758,016,870.30/1,337,637,025,305.50 = 891,758,016,870.30/x
  3. Step 3: Cross multiply
    891,758,016,870.30x = 1,337,637,025,305.50 × 891,758,016,870.30
  4. Step 4: Simplify right side
    891,758,016,870.30x = 1,192,848,540,978,719,984,975,872
  5. Step 5: Solve for x
    x = 1,192,848,540,978,719,984,975,872/891,758,016,870.30
  6. Step 6: Final answer
    x = 1,337,637,025,305.50

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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.