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Finding the Fourth Proportional to 99,646,974.80, 149,494,081.80 and 51,132,316.40

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Solution

The fourth proportional to 99,646,974.80, 149,494,081.80 and 51,132,316.40 is: 76,710,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,646,974.80 : 149,494,081.80 = 51,132,316.40 : x
  2. Step 2: Convert to fraction form
    99,646,974.80/149,494,081.80 = 51,132,316.40/x
  3. Step 3: Cross multiply
    99,646,974.80x = 149,494,081.80 × 51,132,316.40
  4. Step 4: Simplify right side
    99,646,974.80x = 7,643,978,690,525,082
  5. Step 5: Solve for x
    x = 7,643,978,690,525,082/99,646,974.80
  6. Step 6: Final answer
    x = 76,710,594.64

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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.