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Finding the Fourth Proportional to 589,642,020, 813,703,698 and 325,340,462.88

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Solution

The fourth proportional to 589,642,020, 813,703,698 and 325,340,462.88 is: 448,968,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,642,020 : 813,703,698 = 325,340,462.88 : x
  2. Step 2: Convert to fraction form
    589,642,020/813,703,698 = 325,340,462.88/x
  3. Step 3: Cross multiply
    589,642,020x = 813,703,698 × 325,340,462.88
  4. Step 4: Simplify right side
    589,642,020x = 264,730,737,754,487,712
  5. Step 5: Solve for x
    x = 264,730,737,754,487,712/589,642,020
  6. Step 6: Final answer
    x = 448,968,575.47

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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.