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Finding the Fourth Proportional to 104,309,954,024.40, 156,464,931,036.60 and 104,309,954,024.40

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Solution

The fourth proportional to 104,309,954,024.40, 156,464,931,036.60 and 104,309,954,024.40 is: 156,464,931,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,309,954,024.40 : 156,464,931,036.60 = 104,309,954,024.40 : x
  2. Step 2: Convert to fraction form
    104,309,954,024.40/156,464,931,036.60 = 104,309,954,024.40/x
  3. Step 3: Cross multiply
    104,309,954,024.40x = 156,464,931,036.60 × 104,309,954,024.40
  4. Step 4: Simplify right side
    104,309,954,024.40x = 16,320,849,762,858,662,100,992
  5. Step 5: Solve for x
    x = 16,320,849,762,858,662,100,992/104,309,954,024.40
  6. Step 6: Final answer
    x = 156,464,931,036.60

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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.