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Finding the Fourth Proportional to 550,561,159,934.08, 825,841,739,901.12 and 550,561,159,934.08

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Solution

The fourth proportional to 550,561,159,934.08, 825,841,739,901.12 and 550,561,159,934.08 is: 825,841,739,901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,561,159,934.08 : 825,841,739,901.12 = 550,561,159,934.08 : x
  2. Step 2: Convert to fraction form
    550,561,159,934.08/825,841,739,901.12 = 550,561,159,934.08/x
  3. Step 3: Cross multiply
    550,561,159,934.08x = 825,841,739,901.12 × 550,561,159,934.08
  4. Step 4: Simplify right side
    550,561,159,934.08x = 454,676,386,241,939,414,974,464
  5. Step 5: Solve for x
    x = 454,676,386,241,939,414,974,464/550,561,159,934.08
  6. Step 6: Final answer
    x = 825,841,739,901.12

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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.