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Finding the Fourth Proportional to 60,266,943,997.60, 90,400,415,996.40 and 60,266,943,997.60

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Solution

The fourth proportional to 60,266,943,997.60, 90,400,415,996.40 and 60,266,943,997.60 is: 90,400,415,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,266,943,997.60 : 90,400,415,996.40 = 60,266,943,997.60 : x
  2. Step 2: Convert to fraction form
    60,266,943,997.60/90,400,415,996.40 = 60,266,943,997.60/x
  3. Step 3: Cross multiply
    60,266,943,997.60x = 90,400,415,996.40 × 60,266,943,997.60
  4. Step 4: Simplify right side
    60,266,943,997.60x = 5,448,156,808,214,781,886,464
  5. Step 5: Solve for x
    x = 5,448,156,808,214,781,886,464/60,266,943,997.60
  6. Step 6: Final answer
    x = 90,400,415,996.40

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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.