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Finding the Fourth Proportional to 264,645,824.22, 396,902,737.16 and 77,862,600.12

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Solution

The fourth proportional to 264,645,824.22, 396,902,737.16 and 77,862,600.12 is: 116,774,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,645,824.22 : 396,902,737.16 = 77,862,600.12 : x
  2. Step 2: Convert to fraction form
    264,645,824.22/396,902,737.16 = 77,862,600.12/x
  3. Step 3: Cross multiply
    264,645,824.22x = 396,902,737.16 × 77,862,600.12
  4. Step 4: Simplify right side
    264,645,824.22x = 30,903,879,110,022,548
  5. Step 5: Solve for x
    x = 30,903,879,110,022,548/264,645,824.22
  6. Step 6: Final answer
    x = 116,774,482.28

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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.