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Finding the Fourth Proportional to 415,261,364.70, 622,892,047.05 and 415,261,364.70

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Solution

The fourth proportional to 415,261,364.70, 622,892,047.05 and 415,261,364.70 is: 622,892,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,261,364.70 : 622,892,047.05 = 415,261,364.70 : x
  2. Step 2: Convert to fraction form
    415,261,364.70/622,892,047.05 = 415,261,364.70/x
  3. Step 3: Cross multiply
    415,261,364.70x = 622,892,047.05 × 415,261,364.70
  4. Step 4: Simplify right side
    415,261,364.70x = 258,663,001,518,759,584
  5. Step 5: Solve for x
    x = 258,663,001,518,759,584/415,261,364.70
  6. Step 6: Final answer
    x = 622,892,047.05

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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.