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Finding the Fourth Proportional to 6,376,207,252,012.80, 9,564,310,878,019.40 and 6,376,207,252,012.80

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Solution

The fourth proportional to 6,376,207,252,012.80, 9,564,310,878,019.40 and 6,376,207,252,012.80 is: 9,564,310,878,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376,207,252,012.80 : 9,564,310,878,019.40 = 6,376,207,252,012.80 : x
  2. Step 2: Convert to fraction form
    6,376,207,252,012.80/9,564,310,878,019.40 = 6,376,207,252,012.80/x
  3. Step 3: Cross multiply
    6,376,207,252,012.80x = 9,564,310,878,019.40 × 6,376,207,252,012.80
  4. Step 4: Simplify right side
    6,376,207,252,012.80x = 60,984,028,380,932,212,575,436,800
  5. Step 5: Solve for x
    x = 60,984,028,380,932,212,575,436,800/6,376,207,252,012.80
  6. Step 6: Final answer
    x = 9,564,310,878,019.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.