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Finding the Fourth Proportional to 584,216,476.47, 874,933,612.43 and 338,054,333.87

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Solution

The fourth proportional to 584,216,476.47, 874,933,612.43 and 338,054,333.87 is: 506,276,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,216,476.47 : 874,933,612.43 = 338,054,333.87 : x
  2. Step 2: Convert to fraction form
    584,216,476.47/874,933,612.43 = 338,054,333.87/x
  3. Step 3: Cross multiply
    584,216,476.47x = 874,933,612.43 × 338,054,333.87
  4. Step 4: Simplify right side
    584,216,476.47x = 295,775,099,530,993,472
  5. Step 5: Solve for x
    x = 295,775,099,530,993,472/584,216,476.47
  6. Step 6: Final answer
    x = 506,276,545.50

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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.