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Finding the Fourth Proportional to 42,743,819,009.60, 59,719,040,708.80 and 42,743,819,009.60

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Solution

The fourth proportional to 42,743,819,009.60, 59,719,040,708.80 and 42,743,819,009.60 is: 59,719,040,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,743,819,009.60 : 59,719,040,708.80 = 42,743,819,009.60 : x
  2. Step 2: Convert to fraction form
    42,743,819,009.60/59,719,040,708.80 = 42,743,819,009.60/x
  3. Step 3: Cross multiply
    42,743,819,009.60x = 59,719,040,708.80 × 42,743,819,009.60
  4. Step 4: Simplify right side
    42,743,819,009.60x = 2,552,619,867,483,881,865,216
  5. Step 5: Solve for x
    x = 2,552,619,867,483,881,865,216/42,743,819,009.60
  6. Step 6: Final answer
    x = 59,719,040,708.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.