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Finding the Fourth Proportional to 656,045,676, 905,361,928.56 and 362,709,139.68

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Solution

The fourth proportional to 656,045,676, 905,361,928.56 and 362,709,139.68 is: 500,549,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,045,676 : 905,361,928.56 = 362,709,139.68 : x
  2. Step 2: Convert to fraction form
    656,045,676/905,361,928.56 = 362,709,139.68/x
  3. Step 3: Cross multiply
    656,045,676x = 905,361,928.56 × 362,709,139.68
  4. Step 4: Simplify right side
    656,045,676x = 328,383,046,207,023,232
  5. Step 5: Solve for x
    x = 328,383,046,207,023,232/656,045,676
  6. Step 6: Final answer
    x = 500,549,059.65

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Why These Related Problems?

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