Home / 2,140,146,138,009-3,210,520,768,725.30-687,521,711,203.47

Finding the Fourth Proportional to 2,140,146,138,009, 3,210,520,768,725.30 and 687,521,711,203.47

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Solution

The fourth proportional to 2,140,146,138,009, 3,210,520,768,725.30 and 687,521,711,203.47 is: 1,031,379,443,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,146,138,009 : 3,210,520,768,725.30 = 687,521,711,203.47 : x
  2. Step 2: Convert to fraction form
    2,140,146,138,009/3,210,520,768,725.30 = 687,521,711,203.47/x
  3. Step 3: Cross multiply
    2,140,146,138,009x = 3,210,520,768,725.30 × 687,521,711,203.47
  4. Step 4: Simplify right side
    2,140,146,138,009x = 2,207,302,732,768,297,894,281,216
  5. Step 5: Solve for x
    x = 2,207,302,732,768,297,894,281,216/2,140,146,138,009
  6. Step 6: Final answer
    x = 1,031,379,443,471.92

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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.