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Finding the Fourth Proportional to 298,917,647.53, 412,506,530.51 and 166,758,644.50

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Solution

The fourth proportional to 298,917,647.53, 412,506,530.51 and 166,758,644.50 is: 230,127,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,917,647.53 : 412,506,530.51 = 166,758,644.50 : x
  2. Step 2: Convert to fraction form
    298,917,647.53/412,506,530.51 = 166,758,644.50/x
  3. Step 3: Cross multiply
    298,917,647.53x = 412,506,530.51 × 166,758,644.50
  4. Step 4: Simplify right side
    298,917,647.53x = 68,789,029,875,245,496
  5. Step 5: Solve for x
    x = 68,789,029,875,245,496/298,917,647.53
  6. Step 6: Final answer
    x = 230,127,028.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.