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Finding the Fourth Proportional to 40,224,264,047.30, 60,336,396,070.96 and 40,224,264,047.30

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Solution

The fourth proportional to 40,224,264,047.30, 60,336,396,070.96 and 40,224,264,047.30 is: 60,336,396,070.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,224,264,047.30 : 60,336,396,070.96 = 40,224,264,047.30 : x
  2. Step 2: Convert to fraction form
    40,224,264,047.30/60,336,396,070.96 = 40,224,264,047.30/x
  3. Step 3: Cross multiply
    40,224,264,047.30x = 60,336,396,070.96 × 40,224,264,047.30
  4. Step 4: Simplify right side
    40,224,264,047.30x = 2,426,987,127,220,769,652,736
  5. Step 5: Solve for x
    x = 2,426,987,127,220,769,652,736/40,224,264,047.30
  6. Step 6: Final answer
    x = 60,336,396,070.96

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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.