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Finding the Fourth Proportional to 1,265,684,737.23, 1,746,479,298.99 and 729,856,192.80

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Solution

The fourth proportional to 1,265,684,737.23, 1,746,479,298.99 and 729,856,192.80 is: 1,007,106,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,684,737.23 : 1,746,479,298.99 = 729,856,192.80 : x
  2. Step 2: Convert to fraction form
    1,265,684,737.23/1,746,479,298.99 = 729,856,192.80/x
  3. Step 3: Cross multiply
    1,265,684,737.23x = 1,746,479,298.99 × 729,856,192.80
  4. Step 4: Simplify right side
    1,265,684,737.23x = 1,274,678,731,964,854,272
  5. Step 5: Solve for x
    x = 1,274,678,731,964,854,272/1,265,684,737.23
  6. Step 6: Final answer
    x = 1,007,106,030.81

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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.