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Finding the Fourth Proportional to 585,471,420.54, 807,942,937.14 and 334,572,957.66

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Solution

The fourth proportional to 585,471,420.54, 807,942,937.14 and 334,572,957.66 is: 461,706,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,471,420.54 : 807,942,937.14 = 334,572,957.66 : x
  2. Step 2: Convert to fraction form
    585,471,420.54/807,942,937.14 = 334,572,957.66/x
  3. Step 3: Cross multiply
    585,471,420.54x = 807,942,937.14 × 334,572,957.66
  4. Step 4: Simplify right side
    585,471,420.54x = 270,315,858,099,437,280
  5. Step 5: Solve for x
    x = 270,315,858,099,437,280/585,471,420.54
  6. Step 6: Final answer
    x = 461,706,325.22

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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.