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Finding the Fourth Proportional to 880,766,652.12, 1,320,277,312.44 and 413,591,787.12

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Solution

The fourth proportional to 880,766,652.12, 1,320,277,312.44 and 413,591,787.12 is: 619,977,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,766,652.12 : 1,320,277,312.44 = 413,591,787.12 : x
  2. Step 2: Convert to fraction form
    880,766,652.12/1,320,277,312.44 = 413,591,787.12/x
  3. Step 3: Cross multiply
    880,766,652.12x = 1,320,277,312.44 × 413,591,787.12
  4. Step 4: Simplify right side
    880,766,652.12x = 546,055,853,146,050,240
  5. Step 5: Solve for x
    x = 546,055,853,146,050,240/880,766,652.12
  6. Step 6: Final answer
    x = 619,977,892.93

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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.