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Finding the Fourth Proportional to 199,350,301.60, 299,081,439.60 and 97,117,674.40

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Solution

The fourth proportional to 199,350,301.60, 299,081,439.60 and 97,117,674.40 is: 145,703,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,350,301.60 : 299,081,439.60 = 97,117,674.40 : x
  2. Step 2: Convert to fraction form
    199,350,301.60/299,081,439.60 = 97,117,674.40/x
  3. Step 3: Cross multiply
    199,350,301.60x = 299,081,439.60 × 97,117,674.40
  4. Step 4: Simplify right side
    199,350,301.60x = 29,046,093,870,156,072
  5. Step 5: Solve for x
    x = 29,046,093,870,156,072/199,350,301.60
  6. Step 6: Final answer
    x = 145,703,786.94

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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.