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Finding the Fourth Proportional to 550,561,293,313.60, 825,841,939,970.40 and 550,561,293,313.60

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Solution

The fourth proportional to 550,561,293,313.60, 825,841,939,970.40 and 550,561,293,313.60 is: 825,841,939,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,561,293,313.60 : 825,841,939,970.40 = 550,561,293,313.60 : x
  2. Step 2: Convert to fraction form
    550,561,293,313.60/825,841,939,970.40 = 550,561,293,313.60/x
  3. Step 3: Cross multiply
    550,561,293,313.60x = 825,841,939,970.40 × 550,561,293,313.60
  4. Step 4: Simplify right side
    550,561,293,313.60x = 454,676,606,542,715,864,219,648
  5. Step 5: Solve for x
    x = 454,676,606,542,715,864,219,648/550,561,293,313.60
  6. Step 6: Final answer
    x = 825,841,939,970.40

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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.