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Finding the Fourth Proportional to 560,998,838.96, 774,163,546.80 and 313,482,227.12

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Solution

The fourth proportional to 560,998,838.96, 774,163,546.80 and 313,482,227.12 is: 432,597,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,998,838.96 : 774,163,546.80 = 313,482,227.12 : x
  2. Step 2: Convert to fraction form
    560,998,838.96/774,163,546.80 = 313,482,227.12/x
  3. Step 3: Cross multiply
    560,998,838.96x = 774,163,546.80 × 313,482,227.12
  4. Step 4: Simplify right side
    560,998,838.96x = 242,686,512,805,982,336
  5. Step 5: Solve for x
    x = 242,686,512,805,982,336/560,998,838.96
  6. Step 6: Final answer
    x = 432,597,174.81

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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.