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Finding the Fourth Proportional to 786,764,429.34, 1,085,706,472.50 and 434,332,867.62

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Solution

The fourth proportional to 786,764,429.34, 1,085,706,472.50 and 434,332,867.62 is: 599,363,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,764,429.34 : 1,085,706,472.50 = 434,332,867.62 : x
  2. Step 2: Convert to fraction form
    786,764,429.34/1,085,706,472.50 = 434,332,867.62/x
  3. Step 3: Cross multiply
    786,764,429.34x = 1,085,706,472.50 × 434,332,867.62
  4. Step 4: Simplify right side
    786,764,429.34x = 471,558,005,594,519,680
  5. Step 5: Solve for x
    x = 471,558,005,594,519,680/786,764,429.34
  6. Step 6: Final answer
    x = 599,363,657.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.