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Finding the Fourth Proportional to 241,920,523.20, 362,880,784.80 and 80,362,459.20

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Solution

The fourth proportional to 241,920,523.20, 362,880,784.80 and 80,362,459.20 is: 120,543,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,920,523.20 : 362,880,784.80 = 80,362,459.20 : x
  2. Step 2: Convert to fraction form
    241,920,523.20/362,880,784.80 = 80,362,459.20/x
  3. Step 3: Cross multiply
    241,920,523.20x = 362,880,784.80 × 80,362,459.20
  4. Step 4: Simplify right side
    241,920,523.20x = 29,161,992,262,953,984
  5. Step 5: Solve for x
    x = 29,161,992,262,953,984/241,920,523.20
  6. Step 6: Final answer
    x = 120,543,688.80

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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.