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Finding the Fourth Proportional to 547,973,462.94, 822,097,363.32 and 159,796,337.82

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Solution

The fourth proportional to 547,973,462.94, 822,097,363.32 and 159,796,337.82 is: 239,734,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,973,462.94 : 822,097,363.32 = 159,796,337.82 : x
  2. Step 2: Convert to fraction form
    547,973,462.94/822,097,363.32 = 159,796,337.82/x
  3. Step 3: Cross multiply
    547,973,462.94x = 822,097,363.32 × 159,796,337.82
  4. Step 4: Simplify right side
    547,973,462.94x = 131,368,147,990,014,000
  5. Step 5: Solve for x
    x = 131,368,147,990,014,000/547,973,462.94
  6. Step 6: Final answer
    x = 239,734,507.01

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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.