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Finding the Fourth Proportional to 37,748,261,645.60, 56,622,392,468.40 and 37,748,261,645.60

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Solution

The fourth proportional to 37,748,261,645.60, 56,622,392,468.40 and 37,748,261,645.60 is: 56,622,392,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,748,261,645.60 : 56,622,392,468.40 = 37,748,261,645.60 : x
  2. Step 2: Convert to fraction form
    37,748,261,645.60/56,622,392,468.40 = 37,748,261,645.60/x
  3. Step 3: Cross multiply
    37,748,261,645.60x = 56,622,392,468.40 × 37,748,261,645.60
  4. Step 4: Simplify right side
    37,748,261,645.60x = 2,137,396,885,897,013,886,976
  5. Step 5: Solve for x
    x = 2,137,396,885,897,013,886,976/37,748,261,645.60
  6. Step 6: Final answer
    x = 56,622,392,468.40

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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.