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Finding the Fourth Proportional to 504,899,872,173, 696,783,725,791.38 and 279,602,900,397

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Solution

The fourth proportional to 504,899,872,173, 696,783,725,791.38 and 279,602,900,397 is: 385,864,131,520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,899,872,173 : 696,783,725,791.38 = 279,602,900,397 : x
  2. Step 2: Convert to fraction form
    504,899,872,173/696,783,725,791.38 = 279,602,900,397/x
  3. Step 3: Cross multiply
    504,899,872,173x = 696,783,725,791.38 × 279,602,900,397
  4. Step 4: Simplify right side
    504,899,872,173x = 194,822,750,680,697,792,364,544
  5. Step 5: Solve for x
    x = 194,822,750,680,697,792,364,544/504,899,872,173
  6. Step 6: Final answer
    x = 385,864,131,520.21

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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.