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Finding the Fourth Proportional to 589,662,143.16, 813,758,368.86 and 325,361,281.56

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Solution

The fourth proportional to 589,662,143.16, 813,758,368.86 and 325,361,281.56 is: 449,012,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,662,143.16 : 813,758,368.86 = 325,361,281.56 : x
  2. Step 2: Convert to fraction form
    589,662,143.16/813,758,368.86 = 325,361,281.56/x
  3. Step 3: Cross multiply
    589,662,143.16x = 813,758,368.86 × 325,361,281.56
  4. Step 4: Simplify right side
    589,662,143.16x = 264,765,465,772,464,800
  5. Step 5: Solve for x
    x = 264,765,465,772,464,800/589,662,143.16
  6. Step 6: Final answer
    x = 449,012,148.47

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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.