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Finding the Fourth Proportional to 6,376,207,256,607, 9,564,310,884,910.80 and 6,376,207,256,607

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Solution

The fourth proportional to 6,376,207,256,607, 9,564,310,884,910.80 and 6,376,207,256,607 is: 9,564,310,884,910.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376,207,256,607 : 9,564,310,884,910.80 = 6,376,207,256,607 : x
  2. Step 2: Convert to fraction form
    6,376,207,256,607/9,564,310,884,910.80 = 6,376,207,256,607/x
  3. Step 3: Cross multiply
    6,376,207,256,607x = 9,564,310,884,910.80 × 6,376,207,256,607
  4. Step 4: Simplify right side
    6,376,207,256,607x = 60,984,028,468,813,565,643,456,512
  5. Step 5: Solve for x
    x = 60,984,028,468,813,565,643,456,512/6,376,207,256,607
  6. Step 6: Final answer
    x = 9,564,310,884,910.80

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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.