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Finding the Fourth Proportional to 614,328,672.70, 921,493,009.05 and 614,328,672.70

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Solution

The fourth proportional to 614,328,672.70, 921,493,009.05 and 614,328,672.70 is: 921,493,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,328,672.70 : 921,493,009.05 = 614,328,672.70 : x
  2. Step 2: Convert to fraction form
    614,328,672.70/921,493,009.05 = 614,328,672.70/x
  3. Step 3: Cross multiply
    614,328,672.70x = 921,493,009.05 × 614,328,672.70
  4. Step 4: Simplify right side
    614,328,672.70x = 566,099,577,152,015,616
  5. Step 5: Solve for x
    x = 566,099,577,152,015,616/614,328,672.70
  6. Step 6: Final answer
    x = 921,493,009.05

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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.