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Finding the Fourth Proportional to 147,076,340,296.60, 220,265,832,004.80 and 147,076,340,296.60

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Solution

The fourth proportional to 147,076,340,296.60, 220,265,832,004.80 and 147,076,340,296.60 is: 220,265,832,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,076,340,296.60 : 220,265,832,004.80 = 147,076,340,296.60 : x
  2. Step 2: Convert to fraction form
    147,076,340,296.60/220,265,832,004.80 = 147,076,340,296.60/x
  3. Step 3: Cross multiply
    147,076,340,296.60x = 220,265,832,004.80 × 147,076,340,296.60
  4. Step 4: Simplify right side
    147,076,340,296.60x = 32,395,892,463,651,690,381,312
  5. Step 5: Solve for x
    x = 32,395,892,463,651,690,381,312/147,076,340,296.60
  6. Step 6: Final answer
    x = 220,265,832,004.80

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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.