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Finding the Fourth Proportional to 504,899,872,086, 696,783,725,671.32 and 279,602,900,310

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Solution

The fourth proportional to 504,899,872,086, 696,783,725,671.32 and 279,602,900,310 is: 385,864,131,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,899,872,086 : 696,783,725,671.32 = 279,602,900,310 : x
  2. Step 2: Convert to fraction form
    504,899,872,086/696,783,725,671.32 = 279,602,900,310/x
  3. Step 3: Cross multiply
    504,899,872,086x = 696,783,725,671.32 × 279,602,900,310
  4. Step 4: Simplify right side
    504,899,872,086x = 194,822,750,586,508,454,920,192
  5. Step 5: Solve for x
    x = 194,822,750,586,508,454,920,192/504,899,872,086
  6. Step 6: Final answer
    x = 385,864,131,400.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.