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Finding the Fourth Proportional to 841,584,998.40, 1,259,507,716.20 and 841,584,998.40

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Solution

The fourth proportional to 841,584,998.40, 1,259,507,716.20 and 841,584,998.40 is: 1,259,507,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,584,998.40 : 1,259,507,716.20 = 841,584,998.40 : x
  2. Step 2: Convert to fraction form
    841,584,998.40/1,259,507,716.20 = 841,584,998.40/x
  3. Step 3: Cross multiply
    841,584,998.40x = 1,259,507,716.20 × 841,584,998.40
  4. Step 4: Simplify right side
    841,584,998.40x = 1,059,982,799,322,964,608
  5. Step 5: Solve for x
    x = 1,059,982,799,322,964,608/841,584,998.40
  6. Step 6: Final answer
    x = 1,259,507,716.20

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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.