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Finding the Fourth Proportional to 552,765,134,998.80, 829,147,702,498.20 and 552,765,134,998.80

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Solution

The fourth proportional to 552,765,134,998.80, 829,147,702,498.20 and 552,765,134,998.80 is: 829,147,702,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,765,134,998.80 : 829,147,702,498.20 = 552,765,134,998.80 : x
  2. Step 2: Convert to fraction form
    552,765,134,998.80/829,147,702,498.20 = 552,765,134,998.80/x
  3. Step 3: Cross multiply
    552,765,134,998.80x = 829,147,702,498.20 × 552,765,134,998.80
  4. Step 4: Simplify right side
    552,765,134,998.80x = 458,323,941,705,362,427,609,088
  5. Step 5: Solve for x
    x = 458,323,941,705,362,427,609,088/552,765,134,998.80
  6. Step 6: Final answer
    x = 829,147,702,498.20

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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.