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Finding the Fourth Proportional to 550,561,168,877.10, 825,841,753,315.62 and 550,561,168,877.10

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Solution

The fourth proportional to 550,561,168,877.10, 825,841,753,315.62 and 550,561,168,877.10 is: 825,841,753,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,561,168,877.10 : 825,841,753,315.62 = 550,561,168,877.10 : x
  2. Step 2: Convert to fraction form
    550,561,168,877.10/825,841,753,315.62 = 550,561,168,877.10/x
  3. Step 3: Cross multiply
    550,561,168,877.10x = 825,841,753,315.62 × 550,561,168,877.10
  4. Step 4: Simplify right side
    550,561,168,877.10x = 454,676,401,012,961,427,062,784
  5. Step 5: Solve for x
    x = 454,676,401,012,961,427,062,784/550,561,168,877.10
  6. Step 6: Final answer
    x = 825,841,753,315.62

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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.