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Finding the Fourth Proportional to 318,160,611.59, 477,241,470.97 and 99,827,709.11

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Solution

The fourth proportional to 318,160,611.59, 477,241,470.97 and 99,827,709.11 is: 149,741,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,160,611.59 : 477,241,470.97 = 99,827,709.11 : x
  2. Step 2: Convert to fraction form
    318,160,611.59/477,241,470.97 = 99,827,709.11/x
  3. Step 3: Cross multiply
    318,160,611.59x = 477,241,470.97 × 99,827,709.11
  4. Step 4: Simplify right side
    318,160,611.59x = 47,641,922,736,585,896
  5. Step 5: Solve for x
    x = 47,641,922,736,585,896/318,160,611.59
  6. Step 6: Final answer
    x = 149,741,737.35

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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.