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Finding the Fourth Proportional to 284,501,924.40, 427,071,751.20 and 220,091,275.20

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Solution

The fourth proportional to 284,501,924.40, 427,071,751.20 and 220,091,275.20 is: 330,383,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,501,924.40 : 427,071,751.20 = 220,091,275.20 : x
  2. Step 2: Convert to fraction form
    284,501,924.40/427,071,751.20 = 220,091,275.20/x
  3. Step 3: Cross multiply
    284,501,924.40x = 427,071,751.20 × 220,091,275.20
  4. Step 4: Simplify right side
    284,501,924.40x = 93,994,766,323,505,120
  5. Step 5: Solve for x
    x = 93,994,766,323,505,120/284,501,924.40
  6. Step 6: Final answer
    x = 330,383,587.11

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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.