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Finding the Fourth Proportional to 470,247,482.07, 648,863,084.57 and 261,375,225.84

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Solution

The fourth proportional to 470,247,482.07, 648,863,084.57 and 261,375,225.84 is: 360,654,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,247,482.07 : 648,863,084.57 = 261,375,225.84 : x
  2. Step 2: Convert to fraction form
    470,247,482.07/648,863,084.57 = 261,375,225.84/x
  3. Step 3: Cross multiply
    470,247,482.07x = 648,863,084.57 × 261,375,225.84
  4. Step 4: Simplify right side
    470,247,482.07x = 169,596,735,267,415,904
  5. Step 5: Solve for x
    x = 169,596,735,267,415,904/470,247,482.07
  6. Step 6: Final answer
    x = 360,654,212.38

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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.