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Finding the Fourth Proportional to 687,796,838.82, 1,030,740,764.13 and 313,389,724.23

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Solution

The fourth proportional to 687,796,838.82, 1,030,740,764.13 and 313,389,724.23 is: 469,649,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,796,838.82 : 1,030,740,764.13 = 313,389,724.23 : x
  2. Step 2: Convert to fraction form
    687,796,838.82/1,030,740,764.13 = 313,389,724.23/x
  3. Step 3: Cross multiply
    687,796,838.82x = 1,030,740,764.13 × 313,389,724.23
  4. Step 4: Simplify right side
    687,796,838.82x = 323,023,563,823,320,192
  5. Step 5: Solve for x
    x = 323,023,563,823,320,192/687,796,838.82
  6. Step 6: Final answer
    x = 469,649,677.92

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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.