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Finding the Fourth Proportional to 650,890,750.44, 898,235,827.02 and 353,538,798.96

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Solution

The fourth proportional to 650,890,750.44, 898,235,827.02 and 353,538,798.96 is: 487,887,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,890,750.44 : 898,235,827.02 = 353,538,798.96 : x
  2. Step 2: Convert to fraction form
    650,890,750.44/898,235,827.02 = 353,538,798.96/x
  3. Step 3: Cross multiply
    650,890,750.44x = 898,235,827.02 × 353,538,798.96
  4. Step 4: Simplify right side
    650,890,750.44x = 317,561,215,467,493,120
  5. Step 5: Solve for x
    x = 317,561,215,467,493,120/650,890,750.44
  6. Step 6: Final answer
    x = 487,887,122.77

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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.