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Finding the Fourth Proportional to 2,602,404,002.88, 3,903,826,453.92 and 832,029,952.32

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Solution

The fourth proportional to 2,602,404,002.88, 3,903,826,453.92 and 832,029,952.32 is: 1,248,115,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,404,002.88 : 3,903,826,453.92 = 832,029,952.32 : x
  2. Step 2: Convert to fraction form
    2,602,404,002.88/3,903,826,453.92 = 832,029,952.32/x
  3. Step 3: Cross multiply
    2,602,404,002.88x = 3,903,826,453.92 × 832,029,952.32
  4. Step 4: Simplify right side
    2,602,404,002.88x = 3,248,100,538,320,612,352
  5. Step 5: Solve for x
    x = 3,248,100,538,320,612,352/2,602,404,002.88
  6. Step 6: Final answer
    x = 1,248,115,409.72

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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.