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Finding the Fourth Proportional to 98,428,561.60, 147,598,605.60 and 37,824,145.60

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Solution

The fourth proportional to 98,428,561.60, 147,598,605.60 and 37,824,145.60 is: 56,719,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,428,561.60 : 147,598,605.60 = 37,824,145.60 : x
  2. Step 2: Convert to fraction form
    98,428,561.60/147,598,605.60 = 37,824,145.60/x
  3. Step 3: Cross multiply
    98,428,561.60x = 147,598,605.60 × 37,824,145.60
  4. Step 4: Simplify right side
    98,428,561.60x = 5,582,791,148,571,375
  5. Step 5: Solve for x
    x = 5,582,791,148,571,375/98,428,561.60
  6. Step 6: Final answer
    x = 56,719,219.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.