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Finding the Fourth Proportional to 650,752,897.92, 976,128,563.52 and 166,078,757.76

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Solution

The fourth proportional to 650,752,897.92, 976,128,563.52 and 166,078,757.76 is: 249,117,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,752,897.92 : 976,128,563.52 = 166,078,757.76 : x
  2. Step 2: Convert to fraction form
    650,752,897.92/976,128,563.52 = 166,078,757.76/x
  3. Step 3: Cross multiply
    650,752,897.92x = 976,128,563.52 × 166,078,757.76
  4. Step 4: Simplify right side
    650,752,897.92x = 162,114,219,243,454,848
  5. Step 5: Solve for x
    x = 162,114,219,243,454,848/650,752,897.92
  6. Step 6: Final answer
    x = 249,117,936.72

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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.